Persons: Shapovalov Alexander Vasilevich, List of publications

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Shapovalov Alexander Vasilevich

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2026
1.	A. E. Kulagin, A. V. Shapovalov, “Semiclassical states localized on a one-dimensional manifold and governed by the nonlocal NLSE with an anti-Hermitian term”, The European Physical Journal Plus, 141 (2026), 14, 17 pp. https://doi.org/10.1140/epjp/s13360-025-07236-6, arXiv: 2508.04341 [math-ph]

2025
2.	A. E. Kulagin, A. V. Shapovalov, “Quasiparticle solutions for the nonlocal NLSE with an anti-Hermitian term in semiclassical approximation”, The European Physical Journal Plus, 140 (2025), 246, 23 pp. https://link.springer.com/article/10.1140/epjp/s13360-025-06183-6, arXiv: 2408.08532 [math-ph]	2 ^[x]
3.	A. V. Shapovalov, S. A. Siniukov, “Quasiparticle solutions to the 1D nonlocal Fisher–KPP equation with a fractal time derivative in the weak diffusion approximation”, Fractal Fract., 9:5 (2025), 279, 24 pp. https://www.mdpi.com/2504-3110/9/5/279, arXiv: math-ph/ 2503.15099 $https://doi.org/10.3390/fractalfract9050279$	1 ^[x]
4.	M. A. Vologzhin, L. A. Krasnobaeva, A. V. Shapovalov, “Issledovanie dinamiki konformatsionnogo vozmuscheniya v molekule DNK v modeli Muto”, Izvestiya vuzov. Fizika, 68:4 (2025), 5–13 https://journals.tsu.ru/physics/&journal_page=archive&id=2596
5.	A. V. Shapovalov, A. E. Kulagin,, “Kvaziklassicheskii podkhod dlya obobschennogo uravneniya Khausa, opisyvayuschego izluchenie v rezonatore lazera s impulsnoi nakachkoi”, Izvestiya vuzov. Fizika, 68:3 (2025), 90–97 https://journals.tsu.ru/physics/&journal_page=archive&id=2588
6.	S. A. Sinyukov, A. V. Shapovalov, “Formirovanie struktur v nelokalnoi odnomernoi modeli Fishera – Kolmogorova – Petrovskogo – Piskunova s drobnym laplasianom”, Izvestiya vuzov. Fizika, 68:9 (2025), 5–13 https://journals.tsu.ru/physics/&journal_page=archive&id=2641

2024
7.	A. I. Breev, K. V. Vasilev, A. V. Shapovalov, “Rasshirenie simmetrii i obobschennye invariantno-gruppovye resheniya uravneniya teploprovodnosti i uravneniya Byurgersa”, Izvestiya vuzov. Fizika, 67:1 (2024), 99–108
8.	A. E. Kulagin, A. V. Shapovalov, “Kvaziklassicheskie kvazichastitsy dlya uravneniya Shredingera s nelokalnoi nelineinostyu i antiermitovoi chastyu”, Voronezhskaya zimnyaya matematicheskaya shkola S.G. Kreina – 2024 : materialy mezhdunarodnoi Voronezhskoi zimnei matematicheskoi shkoly, posvyaschennoi pamyati V. P. Maslova. (Voronezh, 26–30 yanvarya 2024 g.), 317 c. ISBN 978–5–9273–3692–0, Izdatelskii dom VGU, Voronezh, 2024, s. 130–132 https://vzms.kmm-vsu.ru/files/vzms_2024.pdf
9.	A. E. Kulagin, A. V. Shapovalov, “A semiclassical approach to the nonlocal nonlinear Schrodinger equation with a non-Hermitian term”, Mathermatics, 12:4 (2024), 580, 22 pp. https://www.mdpi.com/2227-7390/12/4/580, arXiv: 2308.08286	7 ^[x]
10.	A. V. Shapovalov, A. E. Kulagin, S. A. Sinyukov, “Nevyazka kvaziklassicheski sosredotochennykh reshenii kineticheskogo uravneniya na primere nelokalnoi modeli ionizatsii aktivnoi sredy”, Izvestiya vuzov. Fizika, 67:2 (2024), 36–44
11.	A. E. Kulagin, A. V. Shapovalov, “Quasiparticles for the one-dimensional nonlocal Fisher-Kolmogorov-Petrovskii-Piskunov equation”, Physica Scripta, 99:4 (2024), 045228, 15 pp. https://iopscience.iop.org/article/10.1088/1402-4896/ad302c, arXiv: 2309.02129	6 ^[x]
12.	V. V. Obukhov, K. E. Osetrin, A. V. Shapovalov, “Comments on the article 'M.O. Katanaev, Complete separation of variables in the geodesic Hamilton-Jacobi equation in four dimensions, Physica Scripta (2023), 98, 104001'”, Physica Scripta, 99:6 (2024), 067002, 4 pp.
13.	S. A. Sinyukov, A. E. Kulagin, A. V. Shapovalov, “Dinamicheskaya sistema momentov dlya nelokalnogo uravneniya Fishera – Kolmogorova – Petrovskogo – Piskunova s drobnoi proizvodnoi po vremeni v priblizhenii slaboi diffuzii”, Izvestiya vuzov. Fizika, 67:8 (2024), 5–14
14.	A. V. Shapovalov, S. A. Siniukov, “Fractal dynamics of solution moments for the KPP–Fisher equation”, Russian Physics Journal, 67 (2024), 1827–1837	6 ^[x]

2023
15.	A. V. Shapovalov, A. I. Breev, “Harmonic Oscillator Coherent States from the Standpoint of Orbit Theory”, Symmetry, 15:2 (2023), 282, 11 pp., arXiv: quant-ph/2211.11029	3 ^[x]
16.	A. E. Kulagin, A. V. Shapovalov, “Analytical description of the diffusion in a cellular automaton with the Margolus neighbourhood in terms of the two-dimensional Markov chain”, Mathermatics, 11:3 (2023), 584, 18 pp. https://www.mdpi.com/2227-7390/11/3/584, arXiv: 2208.03014v2 [math.PR]	3 ^[x]
17.	A. V. Shapovalov, “On equivalence between kinetic equations and geodesic equations in spaces with affine connection”, Symmetry, 15:4 (2023), 905, 16 pp. https://www.mdpi.com/2073-8994/15/4/905	11 ^[x]
18.	V. N. Zadorozhnyi, A. Yu. Trifonov, A. V. Shapovalov, Vysshaya matematika dlya tekhnicheskikh universitetov. Chast III. Differentsialnoe i integralnoe ischislenie. Chast III. 4. Integralnoe ischislenie funktsii neskolkikh peremennykh, v. III, Integralnoe ischislenie funktsii neskolkikh peremennykh., eds. prof. V. Ya. Epp, prof. V. N. Cherepanov, Izd-vo TPU, Tomsk, 2023, 502 pp.

2022
19.	I. Brevik, A. V. Shapovalov, “Effects of low concentration in aqueous solutions within the fractal approach”, Russian Physics Journal, 65:2 (2022), 197–207 https://link.springer.com/article/10.1007/s11182-022-02623-3
20.	A. V. Shapovalov, A. E. Kulagin, S. A. Siniukov, “Family of asymptotic solutions to the two-dimensional kinetic equation with a nonlocal cubic nonlinearity”, Symmetry, 14:3 (2022), 577, 20 pp., arXiv: math-ph/2203.02333	4 ^[x]
21.	T. V. Gandzha, K. A. Isakov, A. V. Shapovalov, “Analysis of the kinetic model of a single-stage process for obtaining titanium dioxide”, Russian Physics Journal, 65:4 (2022), 663–670 https://link.springer.com/article/10.1007/s11182-022-02682-6
22.	A. V. Shapovalov, A. E. Kulagin, S. A. Siniukov, “Pattern formation in a nonlocal Fisher–Kolmogorov–Petrovsky–Piskunov model and in a nonlocal model of the kinetics of an metal vapor active medium”, Russian Physics Journal, 65:4 (2022), 695–702 https://link.springer.com/article/10.1007/s11182-022-02687-1
23.	A. I. Breev, A. V. Shapovalov, D. M. Gitman, “Noncommutative reduction of nonlinear Schrödinger equation on Lie groups”, Universe, 8:9 (2022), 445, 13 pp. https://www.mdpi.com/2218-1997/8/9/445, arXiv: 2108.05180v2 [math-ph]	4 ^[x]

2021
24.	A. V. Shapovalov, R. Brons, “Invariance properties of the one-dimensional diffusion equiation with a fractal time derivative”, Russian Physics Journal, 64:4 (2021), 704–716
25.	A. E. Kulagin, A. V. Shapovalov, A. Yu. Trifonov, “Semiclassical spectral series localized on a curve for the GrossPitaveskii equation with a nonlocal interaction”, Symmetry, 13:7 (2021), 1289, 22 pp.
26.	A. I. Breev, A. V. Shapovalov, Noncommutative reduction of the nonlinear Schrodinger equation on Lie groups, 2021, 19 pp., https://arxiv.org/abs/2108.05180, arXiv: math-ph/2108.05180v1
27.	S. A. Siniukov, A. Yu. Trifonov, A. V. Shapovalov, “Examples of asymptotic solutions obtained by the complex germ method for the one-dimensional nonlocal Fisher–Kolmogorov–Petrovskii–Piskunov equation”, Russian Physics Journal, 64:8 (2021), 1542–1552
28.	A. V. Shapovalov, A. E. Kulagin, “Semiclassical approach to the nonlocal kinetic model of metal vapor aqctive media”, Mathematics, 9:23 (2021), 2995, 16 pp., arXiv: math-ph/2111.05074v1	6 ^[x]

2020
29.	Alexander V. Shapovalov, Anton E. Kulagin, Andrey Yu. Trifonov, “The Gross–Pitaevskii equation with a nonlocal interaction in a semiclassical approximation on a curve”, Symmetry, 12:2 (2020), 201, 25 pp. https://www.mdpi.com/2073-8994/12/2/201	7 ^[x]
30.	A. I. Breev, A. V. Shapovalov, “Non-Commutative Integration of the Dirac Equation in Homogeneous Spaces”, Symmetry, 12:11 (2020), 1867, 30 pp. https://www.mdpi.com/2073-8994/12/11/1867, arXiv: math-ph/2011.06401	22 ^[x]

2019
31.	A. V. Shapovalov, A. Yu. Trifonov, “Approximate solutions and symmetry of a two-component nonlocal reaction-diffusion population model of the Fisher–KPP type”, Symmetry, 11:3 (2019), 366;19 pp. https://www.mdpi.com/2073-8994/11/3/366/htm	13 ^[x]
32.	A. V. Shapovalov, A. Yu. Trifonov, “Adomian decomposition method for the one-dimensional nonlocal Fisher–Kolmogorov–Petrovskii–Piskunov equation”, Russian Physics Journal, 62:4 (2019), 710–719
33.	A. V. Shapovalov, A. Yu. Trifonov, “Adomyan decomposition method for a two component nonlocal reaction-diffusion model of the Fisher–Kolmogorov–Petrovskii–Piskunov type”, Russian Physics Journal, 62:5 (2019), 835–847
34.	A. I. Breev, A. V. Shapovalov, “Vacuum quantum effects on Lie groups with bi-invariant metrics”, International Journal of Geometric Methods in Modern Physics (IJGMMP), 16:8 (2019), 1950122, 25 pp., arXiv: 1906.01826v1 [gr-qc]	3 ^[x]

2018
35.	A. V. Shapovalov, A. I. Breev, “Symmetry operators and separation of variables in the (2 + 1)-dimensional Dirac equation with external electromagnetic field”, International Journal of Geometric Methods in Modern Physics, 15:5 (2018), 1850085, 26 pp., arXiv: math-ph/1709.04644	7 ^[x]
36.	A. V. Shapovalov, A. Yu. Trifonov, “An application of the Maslov complex germ method to the one-dimensional nonlocal Fisher–KPP equation”, International Journal of Geometric Methods in Modern Physics, 15:6 (2018), 1850102, 30 pp., arXiv: math.AP/1409.3158	13 ^[x]
37.	A. V. Shapovalov, V. V. Obukhov, “Some Aspects of Nonlinearity and Self-Organization In Biosystems on Examples of Localized Excitations in the DNA Molecule and Generalized Fisher–KPP Model”, Symmetry, 10:3 (2018), 53, 26 pp. http://www.mdpi.com/2073-8994/10/3/53/html	10 ^[x]
38.	Yu. V. Kistenev, A. V. Borisov, M. A. Titarenko, O. D. Baydik, A. V. Shapovalov, “Diagnosis of oral lichen planus from analysis of saliva samples using terahertz time-domain spectroscopy and chemometric”, Journal of Biomedical Optics, 23:4 (2018), 045001, 8 pp.	16 ^[x]
39.	A. V. Shapovalov, V. V. Obukhov, “Influence of the environment on pattern formation in the one-dimensional nonlocal Fisher-Kolmogorov-Petrovskii-Piskunov model”, Russian Physics Journal, 61:6 (2018), 1093-1099 https://link.springer.com/article/10.1007/s11182-018-1501-8; https://rdcu.be/84br

2017
40.	E. A. Levchenko, A. Yu. Trifonov, A. V. Shapovalov, “Symmetries of the One-Dimensional Fokker–Planck–Kolmogorov Equation with a Nonlocal Quadratic Nonlinearity”, Russian Physics Journal, 60:2 (2017), 284–291 https://link.springer.com/article/10.1007
41.	Yu. V. Kistenev, A. V. Borisov, A. V. Shapovalov, O. D. Baydik, M. A. Titarenko, “Diagnostics of oral lichen planus based on analysis of volatile organic compounds in saliva”, Dynamics and Fluctuations in Biomedical Photonics XIV (San Francisco, California, United States \| January 28, 2017), Proc. SPIE, 10063, 2017, 100630R, 7 pp. http://proceedings.spiedigitallibrary.org/proceeding.aspx?articleid=2608918&resultClick=1	1 ^[x]
42.	A. I. Breev and A. V. Shapovalov, Symmetry operators and separation of variables in the (2 + 1)-dimensional Dirac equation with external electromagnetic field, 2017, 24 pp., arXiv: arXiv:1709.04644v1

2018
43.	A. V. Shapovalov, “Approximate solutions of the one-dimensional Fisher-Kolmogorov-Petrovskii-Piskunov equation with quasilocal competitive losses”, Russian Physics Journal, 60:9 (2018), 1461–1468
44.	A. V. Shapovalov, “One-dimensional Fokker–Planck equation with quadratically nonlinear quasilocal drift.”, Russian Physics Journal, 60:12 (2018), 2063–2072 https://link.springer.com/article/10.1007/s11182-018-1327-4

2017
45.	V. N. Zadorozhnyi, V. F. Zalmezh, A. Yu. Trifonov, A. V. Shapovalov, Vysshaya matematika dlya tekhnicheskikh universitetov. Chast III. Differentsialnoe i integralnoe ischislenie.Chast III. 3. Integralnoe ischislenie funktsii odnoi peremennoi, eds. d.f.-m.n., prof. Osetrin K.E., d.f.-m.n., prof. Bagrov V.G., Natsionalnyi issledovatelskii Tomskii politekhnicheskii universitet, Tomsk, 2017, 494 pp.

2016
46.	A. I. Breev and A. V. Shapovalov, “The Dirac equation in an external electromagnetic field: symmetry algebra and exact integration”, XXIII International Conference on Integrable Systems and Quantum Symmetries (ISQS-23) (Prague, 23-27 June 2015), Journal of Physics: Conference Series, 670, 2016, 012015, 12 pp. http://iopscience.iop.org/1742-6596/670/1/012015	14 ^[x]
47.	A. V. Shapovalov, A. Yu. Trifonov, and A. L. Lisok, “Symmetry operators of the two-component Gross–Pitaevskii equation with a Manakov-type nonlocal nonlinearity”, XXIII International Conference on Integrable Systems and Quantum Symmetries (ISQS-23) (Prague, 23-27 June 2015), Journal of Physics: Conference Series, 670, 2016, 012046, 13 pp. http://iopscience.iop.org/article/10.1088/1742-6596/670/1/012046	1 ^[x]
48.	A. I. Breev, A. V. Shapovalov, A. V. Kozlov, “Integration the relativistic wave equations in bianchi ix cosmology model”, Computer Research and Modeling, 8:3 (2016), 433–443
49.	E. A. Levchenko , A. V. Shapovalov, A. Yu. Trifonov, “Asymptotics semiclassically concentrated on curves for the nonlocal Fisher– Kolmogorov–Petrovskii–Piskunov equation”, J. Phys. A: Math. Theor., 49 (2016), 305203, 17 pp. http://iopscience.iop.org/article/10.1088/1751-8113/49/30/305203/meta	9 ^[x]
50.	A. Yu. Krainov, A. V. Shapovalov, A.V., and K. M. Moiseeva, “Thermal Action of the Nanoparticle Heated by Pulse-Periodic Laser Radiation on a Biotissue”, Russian Physics Journal, 59:8 (2016), 1219-1224

2017
51.	K. A. Isakov, A. V. Shapovalov, “Quasistationary solutions of a two-component hyperbolic system on an interval”, Russian Physics Journal, 59:9 (2017), 1349–1356
52.	A. .I. Breev and A. V. Shapovalov, “Noncommutative integrability of the Klein-Gordon and Dirac equations in (2+1)-dimensional spacetime”, Russian Physics Journal, 59:11 (2017), 1956–1961 http://link.springer.com/article/10.1007/s11182-017-1001-2

2016
53.	Yu. V. Kistenev, A. V. Shapovalov, D. A. Vrazhnov, V. V. Nikolaev, “Kalman filtering in the problem of noise reduction in the absorption spectra of exhaled air”, 22nd International Symposium Atmospheric and Ocean Optics: Atmospheric Physics (Tomsk, Russian Federation \| June 30, 2016), Proc. SPIE, 10035, 2016, 100350A, 6 pp.	1 ^[x]
54.	Yu. V. Kistenev, A. V. Shapovalov, A. V. Borisov, A. I. Knyazkova, “Possibilities of laser spectroscopy for monitoring the profile dynamics of the volatile metabolite in exhaled air”, Proc. SPIE, 10035 (2016), 100350B, 6 pp.

2015
55.	E. A. Levchenko, A. Yu. Trifonov, A. V. Shapovalov, “Kvaziklassicheskoe priblizhenie dlya mnogomernogo nelokalnogo uravneniya Fishera–Kolmogorova–Petrovskogo–Piskunova”, Kompyuternye issledovaniya i modelirovanie, 7:2 (2015), 205 – 219 http://crm.ics.org.ru/journal/issue/165/
56.	A. A. Prozorov, A. Yu. Trifonov, and A. V. Shapovalov, “Asymptotic behavior of the one-dimensional Fisher–Kolmogorov–Pertovskii–Piskunov equation with anomalous diffusion”, Russian Physics Journal, 58:3 (2015), 399–409 http://link.springer.com/article/10.1007/s11182-015-0514-9
57.	A. E. Kulagin, A. Yu. Trifonov, A. V. Shapovalov, “Quasiparticles described by the Gross-Pitaevskii equation in the semiclassical approximation”, Russian Physics Journal, 58:5 (2015), 606–615 (to appear)
58.	E. A. Levchenko, A. Yu. Trifonov., A. V. Shapovalov, “Asymptotics of the multidimensional nonlocal Fisher–Kolmogorov–Petrovskii–Piskunov equation near a quasistationary solution”, Russian Physics Journal, 58:7 (2015), 952-958
59.	A. I. Breev, A. V. Shapovalov, “Polyarizatsiya vakuuma skalyarnogo polya na gruppakh Li s biinvariantnoi metrikoi”, Kompyuternye issledovaniya i modelirovanie, 7:5 (2015), 989– 999
60.	A. V. Breev, A. V. Shapovalov, The Dirac equation in an external electromagnetic field: symmetry algebra and exact integration, 2015, 17 pp., http://arxiv.org/abs/1509.08612, arXiv: 1509.08612 [math-ph]
61.	A. Marfin, D. V. Lychagin, A. Shapovalov, E. A. Alfiorova, “Comparison of mathematical methods of geochemical data processing”, IOP Conf. Series: Materials Science and Engineering, 91 (2015), 012083, 7 pp.
62.	L. A. Krasnobaeva, A. V. Shapovalov, “Local conformational perturbations of the DNA molecule in the SG-model”, The 5th International Scientific Conference «New Operational Technologies» (29–30 September 2015, Tomsk, Russia), AIP Conference Proceedings, 1688, 2015, 030020 (Published online), 6 pp. http://scitation.aip.org/content/aip/proceeding/aipcp/10.1063/1.4936015
63.	Yu. V. Kistenev, A. V. Shapovalov, A. V. Borisov, D. A. Vrazhnov, V. V. Nikolaev, O. Yu. Nikiforova, “Wavelet based de-noising of breath air absorption spectra profiles for improved classification by principal component analysis”, The 5th International Scientific Conference «New Operational Technologies» (29–30 September 2015, Tomsk, Russia), AIP Conference Proceedings, 1688, 2015, 030010 (Published online), 5 pp. http://scitation.aip.org/content/aip/proceeding/aipcp/10.1063/1.4936005	2 ^[x]
64.	D. A. Vrazhnov, A. V. Shapovalov, V. V. Nikolaev, “Solutions of nonlocal nonlinear diffusion equations in data filtering problems”, The 5th International Scientific Conference «New Operational Technologies» (29–30 September 2015, Tomsk, Russia), AIP Conference Proceedings, 1688, 2015, 030016 (Published online), 6 pp. http://scitation.aip.org/content/aip/proceeding/aipcp/10.1063/1.4936011
65.	A. Y. Krainov ; K. M. Moiseeva ; A. V. Shapovalov, “Thermal interaction of biological tissue with nanoparticles heated by laser radiation”, Proc. SPIE 9810, International Conference on Atomic and Molecular Pulsed Lasers XII, 981020 (December 15, 2015), Proc. International Conference on Atomic and Molecular Pulsed Lasers XII (Tomsk, Russian Federation, September 14, 2015), Proc. SPIE, 9810, eds. Victor F. Tarasenko; Andrey M. Kabanov, SPIE, 2015, 981020-1-7 http://proceedings.spiedigitallibrary.org/proceeding.aspx?articleid=2478143&resultClick=1	1 ^[x]
66.	Yu. V. Kistenev, A. V. Shapovalov, A. V. Borisov, D. A. Vrazhnov, V. V. Nikolaev, O. Y. Nikiforova, “Applications of principal component analysis to breath air absorption spectra profiles classification”, Proc. SPIE 9810, International Conference on Atomic and Molecular Pulsed Lasers XII, 98101Y (December 15, 2015), Proc. International Conference on Atomic and Molecular Pulsed Lasers XII (Tomsk, Russian Federation, September 14, 2015), Proc. SPIE, eds. Victor F. Tarasenko; Andrey M. Kabanov, SPIE, 2015, 98101Y-1-6 http://proceedings.spiedigitallibrary.org/proceeding.aspx?articleid=2478141&resultClick=1	12 ^[x]
67.	Yu. V. Kistenev, A. V. Borisov, A. V. Shapovalov, “Determination of component concentrations in models of exhaled air samples using principal component analysis and canonical correlation analysis”, Proc. SPIE 9810, XII International Conference on Atomic and Molecular Pulsed Lasers, 98101Z (December 15, 2015), Proc. International Conference on Atomic and Molecular Pulsed Lasers XII (Tomsk, Russian Federation, September 14, 2015), Proc. SPIE, 9810, eds. Victor F. Tarasenko; Andrey M. Kabanov, SPIE, 2015, 98101Z-1-6 http://proceedings.spiedigitallibrary.org/proceeding.aspx?articleid=2478142&resultClick=1	5 ^[x]
68.	Yu. V. Kistenev, D. A. Kuzmin, E. A. Sandykova, A. V. Shapovalov, “Quantitative comparison of the absorption spectra of the gas mixtures in analogy to the criterion of Pearson”, Proc. SPIE 9680, 21st International Symposium Atmospheric and Ocean Optics: Atmospheric Physics (Tomsk, Russian Federation, June 22, 2015), SPIE Proceedings, 96803, eds. Oleg A. Romanovskii, SPIE, 2015, 96803S-1-8 http://proceedings.spiedigitallibrary.org/proceeding.aspx?articleid=2473089&resultClick=1	1 ^[x]
69.	Yu. V. Kistenev, A. V. Borisov, A. V. Shapovalov, “Statistical approach to the analysis of the composition of multicomponent gas mixtures using absorption laser spectroscopy”, Proc. SPIE 9680, 21st International Symposium Atmospheric and Ocean Optics: Atmospheric Physics, 968044 (November 19, 2015) (Tomsk, Russian Federation, June 22, 2015), 968044, eds. Oleg A. Romanovskii, SPIE, 2015, 968044-1-6 http://proceedings.spiedigitallibrary.org/proceeding.aspx?articleid=2473101&resultClick=1
70.	Yu. V. Kistenev, A. V. Shapovalov, D. A. Vrazhnov, V. V. Nikolaev, O. Y. Nikiforova, “Comparison of classification methods used for analysis of complex biological gas mixtures by means of laser spectroscopy”, Proc. SPIE 9680, 21st International Symposium Atmospheric and Ocean Optics: Atmospheric Physics, 968049 (November 19, 2015) (Tomsk, Russian Federation, June 22, 2015), SPIE Proceedings, 9680, eds. Oleg A. Romanovskii, SPIE, 2015, 96804C-1-6 http://proceedings.spiedigitallibrary.org/proceeding.aspx?articleid=2473106&resultClick=1	1 ^[x]
71.	Yury V. Kistenev, Alexey V. Borisov, Alexander V. Shapovalov, Olga Y. Nikiforova, “Analysis of the component composition of exhaled air using laser spectroscopy and canonical correlation analysis”, Proc. SPIE 9680, 21st International Symposium Atmospheric and Ocean Optics: Atmospheric Physics, 96804C (November 19, 2015) (Tomsk, Russian Federation, June 22, 2015), SPIE Proceedings, 9680, eds. Oleg A. Romanovskii, SPIE, 2015, 96804C-1-6 http://proceedings.spiedigitallibrary.org/proceeding.aspx?articleid=2473109&resultClick=1	4 ^[x]
72.	E. A. Levchenko, A. Yu. Trifonov, A. V. Shapovalov, “Semiclassical approximation for the nonlocal multidimensionalfisher-kolmogorov-petrovskii-piskunov equation”, Computer Research and Modeling, 7:2 (2015), 205–219
73.	A. I. Breev, A. V. Shapovalov, “Vacuum polarization of scalar field on lie groups with bi-invariantmetric”, Computer Research and Modeling, 7:5 (2015), 989–999

2014
74.	E. A. Levchenko, A. V. Shapovalov, and A. Yu. Trifonov, “Pattern formation in terms of semiclassically limited distribution on lower dimensional manifolds for the nonlocal Fisher–Kolmogorov–Petrovskii–Piskunov equation”, Journal of Physics A: Mathematical and Theoretical, 47 (2014), 025209, 20 pp. http://iopscience.iop.org/1751-8121/47/2/025209/article, arXiv: arXiv:1306.3765v1	11 ^[x]

2015
75.	A. V. Borisov, A. V. Shapovalov, “Solutions of the Gross–Pitaevskii equation in prolate spheroidal coordinates”, Russian Physics Journal, 57:9 (2015), 1201-1209 http://link.springer.com/article/10.1007/s11182-015-0364-5

2014
76.	A. I. Breev, A. V. Shapovalov, Yang-Mills gauge fields conserving symmetry algebra of Dirac equation in homogeneous space, 2014, 25 pp., http://arxiv.org/abs/1406.5033, arXiv: gr-qc/1406.5033
77.	A. V. Shapovalov, A. Yu. Trifonov, Asymptotic solutions of the 1D nonlocal Fisher–KPP equation, 2014, 35 pp., http://arxiv.org/abs/1409.3158v1, arXiv: 1409.3158 [math.AP]
78.	A. I. Breev, A. V. Shapovalov, “Yang–Mills gauge fields conserving the symmetry algebra of the Dirac equation in a homogeneous space”, Integrable systems and quantum symmetries (ISQS-2014) (Prague, June, 23-29, 2014), Journal of Physics: Conference Series, 563, 2014, 012004, 15 pp.	9 ^[x]
79.	A. I. Breev, A. V. Shapovalov, “A spectrum of the Dirac operator with an external Yang-Mills gauge field on de Sitter space”, Proceedings of the International Conference “Quantum field theory and gravitation” (Tomsk, July 28-August 3 2014), Vestnik Tomskogo gosudarstvennogo pedagogicheskogo universiteta, 12(153), TGPU, Tomsk, 2014, 25-27

2013
80.	A. L. Lisok, A. V. Shapovalov, A. Yu. Trifonov, “Symmetry and Intertwining Operators for the Nonlocal Gross{Pitaevskii Equation”, SIGMA (Symmetry, Integrability and Geometry: Methods and Applications), 9 (2013), 066, 21 pp. http://dx.doi.org/10.3842/SIGMA.2013.066, arXiv: arXiv:1302.3326v2	11 ^[x]
81.	E. A. Levchenko, A. V. Shapovalov, and A. Yu. Trifonov, Pattern formation in terms of semiclassically limited distribution on lower-dimensional manifolds for nonlocal Fisher–Kolmogorov–Petrovskii–Piskunov equation, 2013, 22 pp., arXiv: arXiv:1306.3765v1
82.	A. L. Lisok, A. V. Shapovalov, and A. Yu. Trifonov, Symmetry operators and intertwining operators for the nonlocal Gross–Pitaevskii equation, 2013, 19 pp., arXiv: arXiv:1302.3326v1

2014
83.	E. A. Levchenko, A. Yu. Trifonov, A. V. Shapovalov, “Symmetry operators of the nonlocal Fisher–Kolmogorov–Petrovskii–Piskunov equation with a quadratic operator”, Russian Physics Journal, 56:12 (2014), 1415–1426

2013
84.	D. A. Vrazhnov, V. V. Nikolaev, A. V. Shapovalov, “Sravnitelnyi analiz metodov povysheniya ustoichivosti algoritmov slezheniya na video”, Vestnik Tomskogo gosudarstvennogo universiteta. Upravlenie, vychislitelnaya tekhnika i informatika, 2013, no. 4 (25), 23-31
85.	E. A. Levchenko, A. Yu. Trifonov, A. V. Shapovalov, “Large-time asymptotic solutions of the nonlocal Fisher–Kolmogorov–Petrovskii–Piskunov equation”, Computer Research and Modeling, 5:4 (2013), 543–558
86.	V. N. Zadorozhnyi, V. F. Zalmezh, A. Yu. Trifonov, A. V. Shapovalov, Vysshaya matematika dlya tekhnicheskikh universitetov. Chast III. Differentsialnoe i integralnoe ischislenie. Chast III.1. Differentsialnoe ischislenie funktsii odnoi peremennoi, Natsionalnyi issledovatelskii Tomskii politekhnicheskii universitet, Tomsk, 2013, 326 pp.

2012
87.	E. A. Levchenko, A. V. Shapovalov, A. Yu. Trifonov, “Symmetries of the Fisher-Kolmogorov-Petrovskii-Piskunov equation with a nonlocal nonlinearity in a semiclassical approximation”, Journal of Mathematical Analysis and Applications (JMAA), 395:2 (2012), 716-726	7 ^[x]

2013
88.	E. A. Levchenko, A. Yu. Trifonov, A. V. Shapovalov, “Estimate of Accuracy of Solution of the Nonlocal Fisher–Kolomogorov–Petrovskii–Piskunov Equation”, Russian Physics Journal, 55:12 (2013), 1425-1433, Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 12, pp. 47–53, December, 2012 http://link.springer.com/journal/11182/55/12/page/1

2012
89.	D. A. Vrazhnov, A. V. Shapovalov, V. V. Nikolaev, “On quality of object tracking algorithms”, Computer Research and Modeling, 4:2 (2012), 303–313
90.	A. V. Borisov, L. A. Krasnobaeva, A. V. Shapovalov, “Influence of diffusion and convection on the chemostat dynamics”, Computer Research and Modeling, 4:1 (2012), 121–129

2011
91.	E. Zamora Sillero, A. V. Shapovlov, “Equivalent Lagrangian densities and invariant collective coordinates equations”, J. Phys. A: Math. Theor., 44:6 (2011), 065204 (11 pp) http://iopscience.iop.org/1751-8121/44/6/065204	3 ^[x]
92.	A. V. Borisov, A. Yu. Trifonov, A. V. Shapovalov, “Evolution of initial distributions with one and two centers in a two-dimensional model of the reaction-diffusion type with a nonlocal interaction of finite radius”, Russian Physics Journal, 54:1 (2011), 32–38, Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 1, pp. 30–35, January, 2011. http://link.springer.com/journal/11182/54/1/page/1
93.	V. A. Aleutdinova, A. V. Borisov, V. É. Shaparev, A. V. Shapovalov, “Numerical simulation of the one-dimensional population dynamics with nonlocal competitive losses and convection”, Russian Physics Journal, 54:4 (2011), 479–484, Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 4, pp. 76–80, April, 2011
94.	A. V. Borisov, A. Yu. Trifonov, A. V. Shapovalov, “Nelokalnaya reaktsionno-diffuzionnaya dinamika formirovaniya krestoobraznykh dvumernykh dissipativnykh struktur”, Izvestiya Tomskogo politekhnicheskogo universiteta, 318:2 (2011), 48–52
95.	A. V. Borisov, A. Yu. Trifonov, A. V. Shapovalov, “Convection effect on two-dimensional dynamicsin the nonlocal reaction-diffusion model”, Computer Research and Modeling, 3:1 (2011), 55–61
96.	V. N. Zadorozhnyi, V. F. Zalmezh, A. Yu. Trifonov, A. V. Shapovalov, Vysshaya matematika dlya tekhnicheskikh universitetov. Chast II. .Analiticheskaya geometriya: Uchebnoe posobie, 2-e izd., ispr. i dop., eds. prof. V. G. Bagrov, prof. K. E. Osetrin, Tomskii politekhnicheskii universistet, Tomsk, 2011, 398 pp., Dopuscheno UMO po obrazovaniyu v oblasti matematiki i upravleniya kachestvom v kachestve uchebnogo posobiya dlya studentov vysshikh uchebnykh zavedenii, obuchayuschikhsya po napravleniyu podgotovki 230400 “Prikladnaya matematika” spetsialnosti 230401 “Prikladnaya matematika”
97.	V. N. Zadorozhnyi, V. F. Zalmezh, A. Yu. Trifonov, A. V. Shapovalov, Vysshaya matematika dlya tekhnicheskikh universitetov. Chast IV. .Ryady: Uchebnoe posobie, 2-e izd., ispr. i dop., eds. prof. V. G. Bagrov, prof. K. E. Osetrin, Tomskii politekhnicheskii universistet, Tomsk, 2011, 344 pp., Dopuscheno UMO po obrazovaniyu v oblasti matematiki i upravleniya kachestvom v kachestve uchebnogo posobiya dlya studentov vysshikh uchebnykh zavedenii, obuchayuschikhsya po napravleniyu podgotovki 230400 “Prikladnaya matematika” spetsialnosti 230401 “Prikladnaya matematika”
98.	V. N. Zadorozhnyi, V. F. Zalmezh, A. Yu. Trifonov, A. V. Shapovalov, Vysshaya matematika dlya tekhnicheskikh universitetov. Chast V. .Differentsialnye uravneniya: Uchebnoe posobie, 2-e izd., ispr. i dop., eds. prof. V. G. Bagrov, prof. K. E. Osetrin, Tomskii politekhnicheskii universistet, Tomsk, 2011, Dopuscheno UMO po obrazovaniyu v oblasti matematiki i upravleniya kachestvom v kachestve uchebnogo posobiya dlya studentov vysshikh uchebnykh zavedenii, obuchayuschikhsya po napravleniyu podgotovki 230400 “Prikladnaya matematika” spetsialnosti 230401 “Prikladnaya matematika”

2010
99.	A. V. Borisov, A. Yu. Trifonov, A. V. Shapovalov, “Formirovanie dissipativnoi struktury v dvumernoi populyatsionnoi dinamike s nelokalnym vzaimodeistviem”, Izvestiya Tomskogo politekhnicheskogo universiteta, 316:2 (2010), 50-53
100.	A. V. Borisov, A. Yu. Trifonov, A. V. Shapovalov, “Dvumernaya dinamika raspredelenii s odnim i dvumya tsentrami lokalizatsii v nelokalnoi reaktsionno-diffuzionnoi modeli”, Izvestiya Tomskogo politekhnicheskogo universiteta, 316:2 (2010), 54–58
101.	R. O. Rezaev, A. Yu. Trifonov, A. V. Shapovalov, “Sistema Einshteina-Erenfesta tipa (0,M) i asimptoticheskie resheniya mnogomernogo nelineinogo uravneniya Fokkera-Planka-Kolmogorova”, Kompyuternye issledovaniya i modelirovanie, 2:2 (2010), 151-160 http://crm.ics.org.ru/journal/issue/121/
102.	D. A. Vrazhnov, A. V. Shapovalov, V. V. Nikolaev, “Simmetrii differentsialnykh uravnenii v zadachakh kompyuternogo zreniya”, Kompyuternye issledovaniya i modelirovanie, 2:4 (2010), 69-376 http://crm.ics.org.ru/journal/issue/125/	1 ^[x]
103.	E. A. Levchenko, A. Yu. Trifonov, A. V. Shapovalov, “Kvaziklassicheskoe priblizhenie dlya odnomernogo dvukhkomponentnogo reaktsionno-diffuzionnogo uravneniya s nelokalnoi nelineinostyu”, Vestnik Adygeiskogo gosudarstvennogo universiteta. Seriya “Estestvenno-matematicheskie i tekhnicheskie nauki”, 2010, no. 2(61), 68-79 http://elibrary.ru/contents.asp?issueid=874155
104.	A. V. Borisov, A. Yu. Trifonov, A. V. Shapovalov, “Vliyanie nelineinoi diffuzii na odnomernuyu reaktsionno-diffuzionnuyu dinamiku s nelokalnym samodeistviem”, Vestnik Adygeiskogo gosudarstvennogo universiteta. Seriya “Estestvenno-matematicheskie i tekhnicheskie nauki”, 2010, no. 2(61), 89–97 http://elibrary.ru/contents.asp?issueid=874155

2011
105.	A. Yu. Trifonov, A. V. Shapovalov, “Semiclassical approximation for the twodimensional Fisher–Kolmogorov–Petrovskii– Piskunov equation with nonlocal nonlinearity in polar coordinates”, Russian Physics Journal, 53:12 (2011), 1243-1253, Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 12, pp. 21–29, December, 2010. http://link.springer.com/journal/11182/53/12/page/1

2010
106.	D. A. Vrazhnov, A. V. Shapovalov, V. V. Nikolaev, “Symmetries of differential equations in computer vision applications”, Computer Research and Modeling, 2:4 (2010), 363–376
107.	R. O. Rezaev, A. Yu. Trifonov, A. V. Shapovalov, “The Einstein-Ehrenfest system of (0, $M$)-type and asymptotical solutions of the multidimensional nonlinear Fokker-Planck-Kolmogorov equation”, Computer Research and Modeling, 2:2 (2010), 151–160
108.	A. V. Borisov, A. Yu. Trifonov, A. V. Shapovalov, “Numerical modeling of population 2D-dynamics with nonlocal interaction”, Computer Research and Modeling, 2:1 (2010), 33–40
109.	V. N. Zadorozhnyi, V. F. Zalmezh, A. Yu. Trifonov, A. V. Shapovalov, Vysshaya matematika dlya tekhnicheskikh universitetov. Chast I. Lineinaya algebra: Uchebnoe posobie, 2-e izd., eds. prof. V. G. Bagrov, prof. K. E. Osetrin, Tomskii politekhnicheskii universistet, Tomsk, 2010, 310 pp., Dopuscheno UMO po obrazovaniyu v oblasti matematiki i upravleniya kachestvom v kachestve uchebnogo posobiya dlya studentov vysshikh uchebnykh zavedenii, obuchayuschikhsya po napravleniyu podgotovki 230400 “Prikladnaya matematika” spetsialnosti 230401 “Prikladnaya matematika”
110.	L. A. Krasnobaeva, A. V. Borisov, A. V. Shapovalov, Kompyuternye metody analiticheskikh vychislenii v prilozhenie k fizicheskim zadacham s ispolzovaniem matematicheskogo yazyka programmirovaniya Maple. [Elektronnyi resurs]: Laboratornyi praktikum, http://edu2.tsu.ru/eor/resourse/195/tpl/index.html, Institut distantsionnogo obrazovaniya TGU, Tomsk, 2010, 52 pp.

2009
111.	A. L. Lisok, A. Yu. Trifonov, A. V. Shapovalov, “Kvaziklassicheskie simmetrii uravneniya tipa Khartri s kvadratichnym operatorom”, Izvestiya Tomskogo politekhnicheskogo universiteta, 314:2 (2009), 66-71
112.	A. V. Borisov,R. O. Rezaev, A. Yu. Trifonov, A. V. Shapovalov, “Chislennoe modelirovanie odnomernoi populyatsionnoi dinamiki s nelokalnym vzaimodeistviem”, Izvestiya Tomskogo politekhnicheskogo universiteta, 315:2 (2009), 24–28
113.	V. A. Lyamkin, R. O. Rezaev, A. Yu. Trifonov, A. V. Shapovalov, “Sistema Einshteina-Erenfesta tipa (k, 1) dlya nelineinogo uravneniya Fokkera-Planka”, Vestnik Adygeiskogo gosudarstvennogo universiteta. Seriya “Estestvenno-matematicheskie i tekhnicheskie nauki”, 2009, no. 2(49), 26-37 http://elibrary.ru/contents.asp?issueid=650571
114.	A. Yu. Trifonov, A. V. Shapovalov, “The one-dimensional Fisher–Kolmogorov equation with a nonlocal nonlinearity in a semiclassical approximation”, Russian Physics Journal, 52:9 (2009), 899-911, Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 9, pp. 14–23, September, 2009. http://link.springer.com/article/10.1007/s11182-010-9316-2
115.	E. I. Smirnova, A. Yu. Trifonov, A. V. Shapovalov, “Formalism of semiclassical asymptotics for a two-component Hartree-type equation”, Russian Physics Journal, 52:10 (2009), 1068-1076, Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 10, pp. 59–66, October, 2009.
116.	L. A. Krasnobaeva, A. V. Shapovalov, “Modulation of the velocity of soliton-like perturbations for the sine–Gordon equation with external force and dissipation”, Russian Physics Journal, 52:12 (2009), 1331-1338, Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 12, pp. 75–81, December, 2009.
117.	A. V. Borisov, A. Yu. Trifonov, A. V. Shapovalov, “Kvaziklassicheskie resheniya uravneniya Grossa–Pitaevskogo, lokalizovannye v okrestnosti okruzhnosti”, Kompyuternye issledovaniya i modelirovanie, 1:4 (2009), 359-365 http://crm.ics.org.ru/journal/issue/114/
118.	L. A. Krasnobaeva, A. V. Shapovalov, “Kink motion by ac external force and dissipation”, Computer Research and Modeling, 1:3 (2009), 263–271
119.	A. V. Shapovalov, A. Yu. Trifonov, E. A. Masalova, “Semiclassical asymptotics of nonlinear Fokker-Plank equation for distributions of asset returns”, Computer Research and Modeling, 1:1 (2009), 41–49
120.	A. V. Borisov, A. Yu. Trifonov, A. V. Shapovalov, “Semiclassical solutions localized in a neighborhood of a circle for the Gross-Pitaevskii equation”, Computer Research and Modeling, 1:4 (2009), 359–365
121.	L. A. Krasnobaeva, A. V. Shapovalov, Solitony uravneniya sinus-Gordona, eds. d.f.-m.n. V. A. Kilin, Tomskii gosudarstvennyi universitet, Tomsk, 2009, 192 pp., Uchebnoe posobie. Dopuscheno UMO po klassicheskomu universitetskomu obrazovaniyu v kachestve uchebnogo posobiya dlya studentov vysshikh uchebnykh zavedenii, obuchayuschikhsya po napravleniyu 010700 - Fizika
122.	V. N. Zadorozhnyi, V. F. Zalmezh, A. Yu. Trifonov, A. V. Shapovalov, Vysshaya matematika dlya tekhnicheskikh universitetov. I. Lineinaya algebra: Uchebnoe posobie, eds. prof. V. G. Bagrov, prof. K. E. Osetrin, Tomskii politekhnicheskii universistet, Tomsk, 2009, 310 pp., Dopuscheno UMO po obrazovaniyu v oblasti prikladnoi matematiki i upravleniya kachestvom v kachestve uchebnogo posobiya dlya studentov vysshikh uchebnykh zavedenii, obuchayuschikhsya po spetsialnosti 073000 “Prikladnaya matematika”

2008
123.	L. A. Krasnobaeva, A. V. Shapovalov, “Kink Velosity in Nonstationary External Fields for the Sine -Gordon Model with Allowance for Dissipation Effects”, Russian Physics Journal, 51:1 (2008), 89-98, Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 1, pp. 77–84, January, 2008 http://link.springer.com/article/10.1007/s11182-008-9020-7
124.	L. A. Krasnobaeva, A. V. Shapovalov, “Kink dynamics in the medium with a random force and dissipation in the sine-Gordon model”, Russian Physics Journal, 51:2 (2008), 158-167, Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 2, pp. 44–51, February, 2008. http://link.springer.com/article/10.1007/s11182-008-9040-3
125.	A. V. Shapovalov, A. Yu. Trifonov, E. A. Masalova, “Kvaziklassicheskoe priblizhenie dlya nelineninogo uravneniya Fokkera - Planka s kvadratichnoi diffuziei v modelyakh dokhodnostei aktivov”, “Matematika. Kompyuter. Obrazovanie”. Cbornik trudov XV mezhdunarodnoi konferentsii, Izhevsk: Nauchno-izdatelskii tsentr “Regulyarnaya i khaoticheskaya dinamika” (Moskovskaya oblast., g. Puschino, 8 yanvarya—2 fevralya 2008 goda), 1, eds. Pod obschei redaktsiei G.Yu. Riznichenko, Nauchno-izdatelskii tsentr “Regulyarnaya i khaoticheskaya dinamika”, Izhevsk, 2008, 181-189 http://www.mce.biophys.msu.ru/rus/archive/proceedings/mce15/part22253/doc21830/
126.	A. V. Shapovalov, A. Yu. Trifonov, E. A. Masalova, “Nonlinear Fokker–Planck Equation in the Model of Asset Returns”, Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), 4 (2008), 038, 10 pp. http://www.emis.de/journals/SIGMA/2008/ $https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT={000267267800038$	1 ^[x]

2007
127.	A. L. Lisok, A. Yu. Trifonov, A. V. Shapovalov, “Quasi-energy spectral series for a nonlocal Gross-Pitaevskii equation”, Russian Physics Journal, 50:7 (2007), 695-709, Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 7, pp. 58–69, July, 2007. http://link.springer.com/article/10.1007/s11182-007-0104-6
128.	F. N. Litvinets, A. V. Shapovalov, A. Yu. Trifonov, “Berry phases for 3D Hartree-type equations with a quadratic potential and a uniform magnetic field”, Journal of Physics A: Mathematical and Theoretical, 40:36 (2007), 11129-11149 http://adsabs.harvard.edu/abs/2007JPhA...4011129L, arXiv: arXiv:math-ph/0610076
129.	Elias Zamora-Sillero and A. V. Shapovalov, “Soliton fractals in Korteweg de Vries equation”, Physical Review, E., 76:4 (2007), 046612-1 — 046612-10, URL: http://link.aps.org/doi/10.1103/PhysRevE.76.04661 http://pre.aps.org/abstract/PRE/v76/i4/e046612	6 ^[x]
130.	Elias Zamora-Sillero, A. V. Shapovalov, and Francisco J. Esteban., “Formation, control and dynamics of $\displaystyle N$ localized structures in the Peyrard-Bishop model”, Physical Review, E., 76:6 (2007), 066603-1 — 066603-13, URL:http://link.aps.org/doi/10.1103/PhysRevE.76.066603 http://pre.aps.org/abstract/PRE/v76/i6/e066603	21 ^[x]
131.	A. L. Lisok, A. Yu. Trifonov, and A. V. Shapovalov, Semiclassical symmetry of the Gross-Pitaevskii equation with quadratic nonlocal Hamiltonian, 2007, 8 pp., arXiv: math-ph/0711.1658
132.	A. V. Shapovalov, A. Yu. Trifonov, E. A. Masalova, “Raspredelenie dokhodnostei finansovykh aktivov i nelineinoe uravnenie Fokkera-Planka-Kolmogorova”, Matematika. Kompyuter. Obrazovanie: Sb. nauchnykh trudov., Trudy Chetyrnadtsatoi Mezhdunarodnoi Konferentsii MATEMATIKA. KOMPYuTER. OBRAZOVANIE (g. Puschino, 22 - 27 yanvarya 2007g.), 1, eds. G. Yu. Riznichenko i A. B. Rubin, NITs “Regulyarnaya i khaoticheskaya dinamika”, Moskva-Izhevsk, 2007, 186-193 http://www.mce.su/rus/MCE-2007/
133.	N. A. Matyushenkova, A. V. Shapovalov, “Dinamicheskaya model vliyaniya reitinga na raspredelenie finansirovaniya podrazdeleniya vuza v usloviyakh konkurentsii”, Matematika. Kompyuter. Obrazovanie: Sb. nauchnykh trudov, Trudy Chetyrnadtsatoi Mezhdunarodnoi Konferentsii MATEMATIKA. KOMPYuTER. OBRAZOVANIE (g. Puschino, 22 - 27 yanvarya 2007 g.), 1, eds. G. Yu. Riznichenko i A. B. Rubin, NITs “Regulyarnaya i khaoticheskaya dinamika”, Moskva-Izhevsk, 2007, 230-238 http://www.mce.su/rus/MCE-2007/
134.	Alexander V. Shapovalov, Roman O. Rezaev, Andrey Yu. Trifonov, “Symmetry Operators for the Fokker–Plank–Kolmogorov Equation with Nonlocal Quadratic Nonlinearity”, Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), 3:Paper 005 (2007), 005-1–16 (16 pp.) http://www.emis.de/journals/SIGMA/2007/ $https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT={000207065200005$	9 ^[x]
135.	V. N. Zadorozhnyi, V. F. Zalmezh, A. Yu. Trifonov, A. V. Shapovalov, Vysshaya matematika dlya tekhnicheskikh universitetov. Chast V. Differentsialnye uravneniya: uchebnoe posobie, eds. prof. V. G. Bagrov, prof. K. E. Osetrin, Tomskii politekhnicheskii universistet, Tomsk, 2007, 396 pp., Dopuscheno UMO po obrazovaniyu v oblasti prikladnoi matematiki i upravleniya kachestvom v kachestve uchebnogo posobiya dlya studentov vysshikh uchebnykh zavedenii, obuchayuschikhsya po spetsialnosti 073000 “Prikladnaya matematika”

2006
136.	F. N. Litvinets, A. V. Shapovalov, A. Yu. Trifonov, “Berry phases for the nonlocal Gross-Pitaevskii equation with a quadratic potential”, Journal of Physics A: Mathematical and General, 39 (2006), 1191-1206, arXiv: math-ph/0510054	8 ^[x]
137.	F. N. Litvinets, A. Yu. Trifonov, A. V. Shapovalov, Berry phases for 3D Hartree type equations with a quadratic potential and a uniform magnetic field, 2006, 15 pp., http://arxiv.org/abs/math-ph/0610076, arXiv: math-ph/0610076
138.	A. L. Lisok, A. Yu. Trifonov, and A. V. Shapovalov, Quasi-energy spectral series and the Aharonov-Anandan phase for the nonlocal Gross–Pitaevsky equation, 2006, 17 pp., http://arxiv.org/abs/math-ph/0612017, arXiv: math-ph/0612017
139.	A. V. Borisov, A. Yu. Trifonov, A. V. Shapovalov, “A semiclassical approximation for the nonstationary two-dimensional nonlinear Schrödinger equation with an external field in polar coordinates”, Russian Physics Journal, 49:7 (2006), 734-743, Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 7, pp.49-56, July, 2006. http://link.springer.com/article/10.1007/s11182-006-0169-7
140.	D. N. Zhabin, E. A. Masalova, A. V. Shapovalov, “Dinamicheskoe upravlenie investitsionnym portfelem”, Vestnik Tomskogo gosudarstvennogo universiteta, 2006, no. 290, 158-162 http://elibrary.ru/item.asp?id=12157968
141.	S. I. Karas, Yu. I. Kistenev, O. Yu. Nikiforova, Ya. S. Pekker, V. A. Fokin, A. V. Shapovalov, Nelineinyi analiz mediko-biologicheskikh dannykh, Tomskii politekhnicheskii universitet, Tomsk, 2006, 118 pp.
142.	N. A. Matyushenkova, A. V. Shapovalov, “Issledovanie vliyaniya ob'ema finansirovaniya podrazdeleniya vuza na ego reiting”, “Matematika. Kompyuter. Obrazovanie”. Cb. trudov XIII mezhdunarodnoi konferentsii (Dubna, 23 - 28 yanvarya), 1, eds. G.Yu.Riznichenko, NITs “Regulyarnaya i khaoticheskaya dinamika”, Moskva-Izhevsk, 2006, 326-333 http://www.mce.su/rus/archive/proceedings/mce13/sect1032/
143.	A. V. Shapovalov, A. Yu. Trifonov, E. A. Masalova, “Dinamika tseny optsiona dlya aktivov, opisyvaemykh Blend- raspredeleniem”, “Matematika. Kompyuter. Obrazovanie”. Cb. trudov XIII mezhdunarodnoi konferentsii (Dubna, 23 - 28 yanvarya), 1, eds. G. Yu. Riznichenko, NITs “Regulyarnaya i khaoticheskaya dinamika”, Moskva-Izhevsk, 2006, 338-346 http://www.mce.su/rus/archive/proceedings/mce13/sect1032/
144.	L. V. Yakushevich, L. A. Krasnobaeva, A. V. Shapovalov, N. R. Kvintero, “Raznoobrazie nelineinykh volnovykh reshenii v sinus- Gordon modeli DNK”, “Matematika. Kompyuter. Obrazovanie”. Cb. trudov XIII mezhdunarodnoi konferentsii (Dubna, 23 - 28 yanvarya), 2, eds. G.Yu.Riznichenko, NITs “Regulyarnaya i khaoticheskaya dinamika”, Moskva-Izhevsk, 2006, 383-391 http://www.mce.su/rus/archive/proceedings/mce13/sect284/
145.	V. N. Zadorozhnyi, V. F. Zalmezh, A. Yu. Trifonov, A. V. Shapovalov, Vysshaya matematika dlya tekhnicheskikh universitetov. Chast IV. .Ryady: Uchebnoe posobie, eds. prof. V. G. Bagrov, prof. I. L. Bukhbinder, Tomskii politekhnicheskii universistet, Tomsk, 2006, 343 pp., Dopuscheno UMO po obrazovaniyu v oblasti prikladnoi matematiki i upravleniya kachestvom v kachestve uchebnogo posobiya dlya studentov vysshikh uchebnykh zavedenii, obuchayuschikhsya po spetsialnosti 073000 “Prikladnaya matematika”

2005
146.	Alexey Borisov, Alexander Shapovalov, Andrey Trifonov, “Transverse Evolution Operator for the Gross–Pitaevskii Equation in Semiclassical Approximation”, SIGMA, 1:019 (2005), 17 pp.	2 ^[x]
147.	Alexander Shapovalov, Andrey Trifonov, Alexander Lisok, “Exact Solutions and Symmetry Operators for the Nonlocal Gross–Pitaevskii Equation with Quadratic Potential”, SIGMA, 1:007 (2005), 14 pp.	10 ^[x]
148.	A. L. Lisok, A. Yu. Trifonov, A. V. Shapovalov, “Symmetry operators of a Hartree-type equation with quadratic potential”, Siberian Math. J., 46:1 (2005), 119–132
149.	A. Yu. Trifonov, A. V. Bezverbny, A. V. Borisov, A. V. Shapovalov, “Temporal kinetics of atomic ensemble in a light field”, Proc. Fourth Int. Symposium «Modern Problems of Laser Physics» (MPLP 2004), Novosibirsk. — 2005. — R. 323–330. (August 22-27, 2004, Novosibirsk), ISBN 5-85957-044-9, eds. Sergei N. Bagayev, Pavel V. Pokasov, Institute of Laser Physics of Siberian Branch of Russian Academy of Sciences, Novosibirsk, 2005, 65-76
150.	L. V. Yakushevich, L. A. Krasnobaeva, A. V. Shapovalov, N. R. Quintero, “One- and two- soliton solutions of the sine-Gordon equation as applied to DNA”, Byophysics, 50:3 (2005), 404-409 http://elibrary.ru/item.asp?id=13496208
151.	A. V. Borisov, A. Yu. Trifonov, A. V. Shapovalov, “The Nonlinear Schrodinger Equation for a Many-Dimensional System in an Oscillator Field”, Russian Physics Journal, 48:7 (2005), 746-753 http://link.springer.com/article/10.1007/s11182-005-0196-9
152.	A. V. Borisov, A. Yu. Trifonov, A. V. Shapovalov, “Kvaziklassicheskoe priblizhenie dlya mnogomernogo nelineninogo uravneniya Shredingera s vneshnim polem”, “Matematika. Kompyuter. Obrazovanie”. Cb. trudov XII mezhdunarodnoi konferentsii., 2, eds. G. Yu. Riznichenko, Izhevsk: Nauchno-izdatelskii tsentr “Regulyarnaya i khaoticheskaya dinamika”, Moskva-Izhevsk, 2005, 648-659 http://www.mce.su/rus/archive/proceedings/mce12/sect283/

2004
153.	A. V. Bezverbny, A. V. Shapovalov, “Modelling of kinetics of atomic ensemble in a light field using the langevin equation”, Matem. Mod., 16:9 (2004), 49–60
154.	A. L. Lisok, A. Yu. Trifonov, A. V. Shapovalov, “Green's Function of a Hartree-Type Equation with a Quadratic Potential”, Theoret. and Math. Phys., 141:2 (2004), 1528–1541
155.	A. V. Shapovalov, A. Yu. Trifonov, and A. L. Lisok, “Semiclassical approach to the geometric phase theory for the Hartree type equation”, The Proceedings of Fifth International Conference “Symmetry in Nonlinear Mathematical Physics”, Part 3, Proceedings of Institute of Mathematics of NAS of Ukraine, 50, eds. Editors: A.G. Nikitin, V.M. Boyko, R.O. Popovych and I.A.Yehorchenko,, Institute of Mathematics, 2004, Kyiv, 2004, 1454-1465 http://www.imath.kiev.ua/~snmp2003/Proceedings/part3.html
156.	A. L. Lisok, A. Yu. Trifonov, and A. V. Sapovalov, “The evolution operator of the Hartree-type equation with a quadratic potential”, Journal of Physics A: Mathematical and General, 37 (2004), 4535-4556 http://iopscience.iop.org/0305-4470/37/16	10 ^[x]
157.	A. V. Borisov, Yu. V. Kistenev, A. Yu. Trifonov, A. V. Shapovalov, “Investigation of the Dynamics of a Soliton-Like Solution to the Nonlinear Schrödinger Equation with an External Field”, Russian Physics Journal, 47:1 (2004), 25-30 http://link.springer.com/article/10.1023/B
158.	A. L. Lisok, F. N. Litvinets, A. Yu. Trifonov, A. V. Shapovalov, “The Geometric Phases and Quasienergy Spectral Series of a Hartree-Type Equation with a Quadratic Potential”, Russian Physics Journal, 47:4 (2004), 405-413 http://link.springer.com/article/10.1023/B
159.	A. V. Bezverbnyi, A. V. Shapovalov, “Stokhasticheskaya dinamika atomov v rezonansnom svetovom pole v kvaziklassicheskom priblizhenii”, Optika i spektroskopiya, 97:1 (2004), 80-87
160.	V. G. Bagrov, A. V. Shapovalov, “Klassicheskoe razdelenie peremennykh v lineinom differentsialnom uravnenii vtorogo poryadka neparabolicheskogo tipa”, Trudy XV Mezhdunarodnoi letnei shkoly-seminara “Volga” po sovremennym problemam teoreticheskoi i matematicheskoi fiziki. Petrovskie chteniya, 324 str., Noveishie problemy teorii polya, 4, eds. A. V. Aminova, Kheter, Kazan, 2004, 25-60
161.	A. L. Lisok, A. Yu. Trifonov, A. V. Shapovalov, “Kvaziklassicheskoe priblizhenie v teorii geometricheskikh faz dlya uravneniya tipa Khartri”, Trudy XV Mezhdunarodnoi letnei shkoly-seminara “Volga” po sovremennym problemam teoreticheskoi i matematicheskoi fiziki. Petrovskie chteniya, 324 str., Noveishie problemy teorii polya, 4, eds. A.V. Aminova, Kheter, Kazan, 2004, 191-202
162.	F. N. Litvinets, A. Yu. Trifonov, A. V. Shapovalov, “Faza Aaronova-Anandana uravneniya tipa Khartri s kvadratichnym potentsialom”, Trudy XV Mezhdunarodnoi letnei shkoly-seminara “Volga” po sovremennym problemam teoreticheskoi i matematicheskoi fiziki. Petrovskie chteniya, 324 str., Noveishie problemy teorii polya, 4, eds. A. V. Aminova, Kheter, Kazan, 2004, 203-216

2003
163.	M. D. Noskov, V. V. Lopatin, A. A. Cheglokov, A. V. Shapovalov, “Investigation of Discharge Channel Elongation under Thermal Dielectric Breakdown”, Russian Physics Journal, 46:1 (2003), 91-95 http://link.springer.com/article/10.1023/A
164.	E. V. Evdokimov , K. E. Evdokimov, and A. V. Shapovalov, “Peculiarities of Resonance Chaos Suppression in Populations with Non-overlapping Generations”, Physica D: Nonlinear Phenomena, 179:1-2 (2003), 115-127 http://www.sciencedirect.com/science/article/pii/S0167278903000095	2 ^[x]
165.	E. V. Evdokimov, A. V. Shapovalov, “Geometricheskie metody v populyatsionnoi dinamike”, Lektsionnye zametki po teoreticheskoi i matematicheskoi fizike, 12 Mezhdunarodnaya letnyaya shkola-seminar po sovremennym problemam teoreticheskoi i matematicheskoi fizike “Volga -12” (Petrovskiei chteniya) (Kazan, 22 iyunya-2 iyulya 2000 g.), “Volga -12” (Petrovskiei chteniya), 3. Ch.2, eds. A. V. Aminova, KGU, Kazan, 2003, 138-156
166.	A. L. Lisok, A. Yu. Trifonov, A. V. Shapovalov, D. E. Yakovlev, “Kvaziklassicheskie spektralnye serii i geometricheskie fazy dlya uravneniya tipa Khartri”, “Noveishie problemy teorii polya 2001-2002”, Trudy XIII-XIV Mezhdunarodnoi letnei shkoly-seminara po sovremennym problemam teoreticheskoi i matematicheskoi fiziki “Volga 13'01-14-02” (Petrovskie chteniya), eds. A. V. Aminova, KGU, Kazan, 2003, 264-279
167.	G. N. Serezhnikov, A. Yu. Trifonov, A. V. Shapovalov, “Superpozitsiya uedinennykh voln dlya uravneniya tipa Khartri s gaussovym potentsialom”, “Noveishie problemy teorii polya 2001-2002”, Trudy XIII-XIV Mezhdunarodnoi letnei shkoly-seminara po sovremennym problemam teoreticheskoi i matematicheskoi fiziki “Volga 13'01-14-02” (Petrovskie chteniya), eds. A. V. Aminova, KGU, Kazan, 2003, 387-395
168.	A. Yu Trifonov, A. V. Shapovalov, D. E. Yakovlev, “Kvaziklassicheski sosredotochennye resheniya odnomernogo uravneniya Fokkera-Planka- Kolmogorova”, “Noveishie problemy teorii polya 2001-2002”, Trudy XIII-XIV Mezhdunarodnoi letnei shkoly-seminara po sovremennym problemam teoreticheskoi i matematicheskoi fiziki “Volga 13'01-14-02” (Petrovskie chteniya), eds. A. V. Aminova, KGU, Kazan, 2003, 442-452
169.	A. V. Borisov, Yu. V. Kistenev, A. Yu. Trifonov, A. V. Shapovalov, “Kompyutnrnoe modelirovanie asimptoticheskogo NUSh - solitona vo vneshnikh polyakh spetsialnogo vida”, Sb. Trudov 10 Mezhdunarodnoi konferentsii "Matematika. Kompyuter. Obrazovanie." (g. Puschino, 20-25 yanvarya 2003 g.), 2, eds. G. Yu. Riznichenko, NITs “Regulyarnaya i khaoticheskaya dinamika”, Moskva-Izhevsk, 2003, 176 - 183 http://www.mce.su/rus/archive/proceedings/mce10/part15632/

2002
170.	V. V. Belov, A. Yu. Trifonov, A. V. Shapovalov, “Semiclassical Trajectory-Coherent Approximations of Hartree-Type Equations”, Theoret. and Math. Phys., 130:3 (2002), 391–418
171.	A. V. Shapovalov, A. Yu. Trifonov, “Semiclassically consentrated waves for the generalized nonlinear Shrodinger equation with external field”, Proceedings of IV Int. Conference “Symmetry in Nonlinear Mathematical Physics”, Proc. Institute of Mathematics of NAN of Ukraine, Part 2 (Kyiv, Ukraine, 9-15 July, 2001), 32, eds. A. G. Nikitin, V. M. Boiko, and R. O. Popovich, NAN of Ukraine, Institute of Mathematics, Kyiv, 2002, 701-711
172.	A. Yu. Trifonov, A. V. Shapovalov, “Geometricheskaya faza dlya uravneniya tipa Khartri v kvaziklassicheskom traektorno-kogerentnom priblizhenii”, Trudy III Mezhdunarodnoi konferentsii “Simmetriya i differentsialnye uravneniya” (Krasnoyarsk, Rossiya, 25-29 avgusta 2002 g.), eds. V. K. Andreeva, In-t vychislitelnogo modelirovaniya SO RAN.- Krasnoyarsk, Krasnoyarsk, 2002, 220-225
173.	V. V. Belov, A. Yu. Trifonov, A. V. Shapovalov, “The Trajectory-Coherent Approximation and the System of Moments for the Hartree Type Equation”, International Journal of Mathematics and Mathematical Science, 32:6 (2002), 325-370 http://www.hindawi.com/journals/ijmms/2002/931236/abs/	32 ^[x]
174.	A. Yu. Trifonov, A. V. Shapovalov, “Uravnenie Fokkera-Planka_Kolmogorova v kvaziklassicheskom priblizhenii”, Sbornik Trudov 9-oi Mezhdunarodnoi Konferentsii “Matematika. Kompyuter. Obrazovanie” (v 2-kh tomakh) (Dubna, 28.01-02.02.2002 g), 2, eds. G. Yu. Riznichenko, NITs “Regulyarnaya i khaoticheskaya dinamika”, Moskva, Izhevsk, 2002, 356-367
175.	A. V. Borisov, A. Yu. Kistenev, A. Yu. Trifonov, A. V. Shapovalov, “Opticheskii solitonopodobnyi puchok v kubichno-nelineinoi poperechno-neodnorodnoi srede”, Trudy Mezhdunarodnogo opticheskogo kongressa “Optika XXI vek. Fundamentalnye problemy optiki-2002” (Sankt-Peterburg, 14-17 oktyabrya 2002), SPbGITMO (TU), Sankt-Peterburg, 2002, 22-24

2001
176.	M. D. Noskov, A. A. Cheglokov, A. V. Shapovalov, “Dynamics of the Thermal Instability Evolution in Dielectric Breakdown”, Russian Physics Journal, 44:1 (2001), 48-54 http://link.springer.com/article/10.1023/A
177.	A. Cheglokov, M. Noskov, V. Lopatin, A. Shapovalov, “Simulation of sparkchannel formation for electrical discharge technology”, Proc.of the 5-th Korea-Russia Int. Symp. on Sciemnce and Technology, KORUS 2001 (Tomsk, Russia, June 26-July 8), 1, Tomsk Polytechnic University, Tomsk, 2001, 224-228
178.	M. D. Noskov, V. V. Lopatin, A. A. Cheglokov, A. V. Shapovalov, “Computer simulation of discharge channel propagation in solid dielectric”, ICSD'01. Proceedings of the 20001 IEEE 7th International Conference on Solid Dielectrics (Cat. No.01CH37117) (Eindhoven, the Netherlands, June 25-29, 2001), Eindhoven, Eindhoven, the Netherlands, 2001, 465-468 http://ieeexplore.ieee.org/xpl/mostRecentIssue.jsp?punumber=7584	3 ^[x]
179.	A. V. Borisov, A. Yu. Trifonov, A. V. Shapovalov, “Odnomernyi NUSh-soliton vo vneshnem pole. Poluklassichenskii podkhod i kompyuternoe modelirovanieyu”, Trudy mezhdunarodnoi konferentsii “Matematicheskie modeli i metody ikh issledovaniya” v 2-kh tomakh (Krasnoyarsk, Rossiya, 16-21 avgusta 2000 g.), 2, eds. V. K. Andreeva, Yu. V. Shtanko, In-t vychislitelnogo modelirovaniya SO RAN, Krasnoyarsk, 2001, 111 - 115
180.	V. V. Lopatin, M. D. Noskov, A. A. Cheglokov, A. V. Shapovalov, “Modelirovanie razvitiya razryadnogo kanala v tverdykh dielektrikakh”, Trudy mezhdunarodnoi konferentsii “Matematicheskie modeli i metody ikh issledovaniya” v 2-kh tomakh (Krasnoyarsk, Rossiya, 16-21 avgusta 2000 g.), 2, eds. V. K. Andreeva, Yu. V. Shtanko, In-t vychislitelnogo modelirovaniya SO RAN, Krasnoyarsk, 2001, 69-73
181.	A. Yu. Trifonov, A. V. Shapovalov, “Vozmuschenie poluklassicheskoi vektornoi uedinennoi volny”, Trudy mezhdunarodnoi konferentsii “Matematicheskie modeli i metody ikh issledovaniya” v 2-kh tomakh (Krasnoyarsk, Rossiya, 16-21 avgusta 2000 g.), 2, eds. V. K. Andreeva, Yu. V. Shtanko, In-t vychislitelnogo modelirovaniya SO RAN, Krasnoyarsk, 2001, 214-219
182.	A. Yu. Trifonov, A. V. Shapovalov, D. E. Yakovlev, “Odnomernoe uravnenie Fokkera-Planka -Kolmogorova v kvaziklassicheskom traektorno-kogerentnom priblizhenii”, Trudy mezhdunarodnoi konferentsii “Matematicheskie modeli i metody ikh issledovaniya” v 2-kh tomakh (Krasnoyarsk, Rossiya, 16-21 avgusta 2000 g.), 2, eds. V. K. Andreeva, Yu. V. Shtanko, In-t vychislitelnogo modelirovaniya SO RAN, 2001, 219-226
183.	A. Yu. Trifonov, A. V. Shapovalov, S. A. Shirokov, “Asimptoticheskaya vektornaya uedinennaya volna vo vneshnem pole”, Trudy “IV Mezhdunarodnoi konferentsii po matematicheskomu modelirovaniyu” v 2-kh tomakh (Moskva, 27 iyunya- 1 iyulya 2000 g.), 2, STANKIN, Moskva, 2001, 176-183
184.	A. Yu. Trifonov, A. V. Shapovalov, S. A. Shirokov, “Odnosolitonnoe VKB-reshenie vektornogo nelineinogo uravneniya Shredingera s vneshnim polem”, Trudy "VIII Mezhdunarodnoi konferentsii Matematika, Kompyuter, Obrazovanie." (g. Puschino, Moskovskoi obl., 31 yanvarya - 4 fevralya 2000 g.), Vyp. 8, eds. G. Yu. Riznichenko, Progress-Traditsiya, Moskva, 2001, 311-316
185.	E .V. Evdokimov, A. V. Shapovalov, “Proizvodstvo informatsii v khode mikroevolyutsii protochnykh gaploidnykh populyatsii. Variatsionnyi podkhod na osnove formalizma Dzheinsa.”, Trudy mezhdunarodnoi konferentsii, posvyaschennoi 90-letiyu so dnya rozhdeniya A.A. Lyapunova. (Novosibirsk, Akademgorodok, 8-11 oktyabrya 2001 g.), Novosibirsk, SO RAN, Novosibirsk, 2001, 10 s. http://www.sbras.ru/ws/Lyap2001/
186.	A. V. Shapovalov, E. V. Evdokimov, “Determinirovannyi khaos i ego reduktsiya v mikroevolyutsionnoi modeli Rikkera-Meya”, Trudy mezhdunarodnoi konferentsii, posvyaschennoi 90-letiyu so dnya rozhdeniya A.A. Lyapunova. (Novosibirsk, Akademgorodok, 8-11 oktyabrya 2001 g.), Novosibirsk, SO RAN, Novosibirsk, 2001, 5 s. http://www.sbras.ru/ws/Lyap2001/
187.	E. V. Evdokimov, A. V. Shapovalov, “Determinirovannyi khaos v dinamike populyatsii kak evolyutsionnyi faktor”, Evolyutsionnaya biologiya: Materialy konferentsii “Problema vida i vidoobrazovaniya”, 1, eds. V.N.Stegnii, Tomskii gosudarstvennyi universitet, Tomsk, 2001, 245-263

2000
188.	Ya. V. Lisitsyn, A. V. Shapovalov, “Integrable $N$-dimensional systems on the Hopf algebra and $q$-deformations”, Theoret. and Math. Phys., 124:3 (2000), 1172–1186
189.	V.D. Baranov, V.V. Belov, A.Yu. Trifonov, A.V. Shapovalov, “Kvaziklassicheskoe traektorno-kogerentnoe priblizhenie dlya uravneniya tipa Khartri”, “Noveishie problemy teorii polya. 1999-2000”., eds. A.V. Aminova, Kazanskii gosudarstvennyi universistet, Kazan, 2000, 22-43
190.	L. V. Gritsenko, I. P. Susak, A. Yu. Trifonov, A. V. Shapovalov, “Kvaziklassicheskie resheniya dvukhkomponentnogo uravneniya Shredingera”, “Noveishie problemy teorii polya. 1999-2000”., eds. A.V. Aminova, Kazanskii gosudarstvennyi universistet, Kazan, 2000, 75-84
191.	Ya.V. Lisitsyn, A.V. Shapovalov, “Gamiltoniany $N$- mernykh integrirkemykh sistem na algebre Khopfa i $q$-deformatsiya”, “Noveishie problemy teorii polya. 1999-2000”., eds. A.V. Aminova, Kazanskii gosudarstvennyi universistet, Kazan, 2000, 204-214
192.	E. V. Evdokimov, A. V. Shapovalov, “Janes approach to the dynamics of Darwin systems”, Russian Physics Journal, 43:6 (2000), 488-492, Translated from Izvestiya Vysshikh, Uchebnykh Zavedenii, Fizika, No. 6, pp. 52–57, June, 2000. http://link.springer.com/article/10.1007/BF02508629
193.	E. V. Evdokimov, M. P. Pecherkin, A. V. Shapovalov, “Hamiltonian approach to the dynamics of a chemostat”, Russian Physics Journal, 43:7 (2000), 568-575, Tomsk State University. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 7, pp. 46–53, July, 2000.
194.	V. V. Belov, G. N. Serezhnikov, A. Yu. Trifonov, A. V. Shapovalov, “Sistema Gamiltona-Erenfesta i uravneniya tipa Khartri”, Trudy mezhdunarodnoi konferentsii “Simmetriya i differentsialnye uravneniya”. (Krasnoyarsk, Rossiya, 21-25 avgusta 2000 g.), eds. V.K. Andreeva i Yu.V. Shtanko, In-t vychislitelnogo modelirovaniya SO RAN, 375 s., Krasnoyarsk, 2000, 39-42
195.	A. Yu. Trifonov, A. V. Shapovalov, “Poluklassicheskie uedinennye volny vektornogo nelineinogo uravneniya Shredingera.”, Trudy mezhdunarodnoi konferentsii “Simmetriya i differentsialnye uravneniya”. (Krasnoyarsk, Rossiya, 21-25 avgusta 2000 g.), eds. V.K. Andreeva i Yu.V. Shtanko, In-t vychislitelnogo modelirovaniya SO RAN, 375 s., Krasnoyarsk, 2000, 226-229
196.	M. Noskov, A. Cheglokov, A. Shapovalov, “Computer investigation of spatial-temporal evolution of the thermal instability”, Proc. of 2000 IEEE Conf on Electrical Insulation and Dielectric Phenomena. (Victoria, British Columbia, Canada, October, 15-18), University of Victoria, Victoria, 2000, 453-456
197.	V. V. Belov, A. Yu. Trifonov, A. V. Shapovalov, The Trajectory-Coherent Approximation and the System of Moments for the Hartree Type Equation, 2000, 35 pp., http://arxiv.org/abs/math-ph/0012046, arXiv: arXiv:math-ph/0012046	32 ^[x]

1999
198.	A. V. Shapovalov and A. Yu. Trifonov, “Semiclassical Solutions of the Nonlinear Schrödinger Equation”, Journal of Nonlinear Mathematical Physics, 6:2 (1999), 1-12 http://www.tandfonline.com/doi/abs/10.2991/jnmp.1999.6.2.2#.UtKrYPRdX34	3 ^[x]
199.	Yu. V. Kistenev and A. V. Shapovalov, “Solitary Waves in Two-Component Resonantly Absorbing Media.”, Mathematical Models of Non-Linear Exitations, Transfer, Dynamics, and Control in Condenced Systems and Other Media, eds. L.A. Uvarova, Plenum Publishing Corporation, Ney York, USA, 1999, 85-92
200.	V. M. Komarov, A. V. Kabanov, Yu. A. Lazarev, A. V. Shapovalov, “Kompyuternoe modelirovanie skrytogo polimorfizma vodorodnogo svyazyvaniya azotistykh osnovanii v strukture kanonicheskikh i khugstenovskikh par”, Trudy VI Mezhdunarodnoi konferentsii “Matematika, kompyuter, obrazovanie”, eds. G.Yu. Riznichenko, Progress-traditsi, Moskva, 1999, 1-5
201.	Yu. V. Kistenev, A. V. Shapovalov, “Spontannoe solitonoobrazovanie v rezonansno pogloschayuschei dvukhkomponentnoi srede”, Optika i spektroskopiya, 87:3 (1999), 433-438
202.	Yu. V. Kistenev, Yu. N. Ponomarev, A. V. Shapovalov, “Formirovanie solitonopodobnykh impulsov v rezonansnoi usilivayusche-pogloschayuschei srede”, Kvantovaya elektronika, 29:1 (1999), 1-5	6 ^[x]
203.	O. V. Zhdaneev, G. N. Serezhnikov, A. Yu. Trifonov, A. V. Shapovalov, “Semiclassical trajectory-coherent states of the nonlinear Schrödinger equation with unitary nonlinearity”, Russian Physics Journal, 42:7 (1999), 598-606, Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 7, pp. 15–23, July, 1999. http://link.springer.com/article/10.1007/BF02513223
204.	Yu. V. Kistenev, Yu. V. Ponomarev, A. V. Shapovalov, “Fraktalnye svoistva spektrov pogloscheniya gazovykh komponent atmosfery”, Optika atmosfery i okeana, 12:9 (1999), 835-839
205.	Yu. V. Kistenev, Yu. N. Ponomarev, A. V. Shapovalov, “Soliton formation in a resonant amplifying—absorbing medium”, Quantrum Electron., 29:10 (1999), 894–898

1998
206.	A. V. Shapovalov, E. V. Evdokimov, “Hamiltonian dynamics of Darwin systems”, Physica D: Nonlinear Phenomena, 112:3-4 (1998), 441-450 http://www.sciencedirect.com/science/article/pii/S0167278997001796	2 ^[x]
207.	A. V. Shapovalov, E. V. Evdokimov, The geometry of the Fisher selection dynamics, 1998, 9 pp., arXiv: physics/9805006
208.	Yu. V. Kistenev, A. V. Shapovalov, “Spontaneous soliton formation in two-component resonantly absorbing media”, Proc. SPIE, 3485 (1998), 450-454
209.	O. V. Zhdaneev, G. N. Serezhnikov, A. Yu. Trifonov, A. V. Shapovalov, “Uravneniya Shredingera s unitarnoi nelineinostyu v kvaziklassicheskom traektorno-kogerentnom priblizhenii”, ISBN 5-89423-081-0, “Noveishie problemy teorii polya. 1998": tr. Mezhdunar. letnei shk.-seminara ‘`Volga-10’98” po sovremen. probl. teoret. i mat. fiziki (Kazan,), eds. A. V. Aminova, Kazanskii gosudarstvennyi universitet, Kazan, 1998, 76-83
210.	E. V. Evdokimov, A. V. Shapovalov, “Determinirovannyi khaos kak faktor biologicheskoi evolyutsii”, Filosofiya Nauki, 1998, no. 1(4), 42-53
211.	Ya. V. Lisitsyn, A. V. Shapovalov, “Reduction of quantum analogs of Hamiltonian systems described by Lie algebras to orbits in a coadjoint representation”, Russian Physics Journal, 41:5 (1998), 460-464, Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 5, pp. 69–74, May, 1998. http://link.springer.com/article/10.1007/BF02766506

1997
212.	A. V. Shapovalov, E. V. Evdokimov, Hamiltonian Dynamics of Darwin Systems, 1997, 22 pp., arXiv: physics/9701012
213.	A. V. Shapovalov, E. V. Evdokimov, K. E. Evdokimov, Yu. A. Kreidun, “Kvazirezonansnye svoistva periodicheski vozmuschennykh odnoparametricheskikh logisticheski-podobnykh otobrazhenii”, Zhurnal fizicheskoi khimii, 71:11 (1997), 1999–2004
214.	E. V. Evdokimov, A. V. Shapovalov, “Hamiltonian approach to the dynamics of Darwinian systems”, Russian Physics Journal, 40:7 (1997), 610-615, Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 7, pp. 23–28, July, 1997., arXiv: physics/9701012
215.	A. V. Shapovalov, Yu. V. Kistenev, “Opticheskie kharakteristiki rezonansno pogloschayuschego multifraktala Bezikovicha”, Trudy Mezhdunar. nauch. konf. “Matem. modeli nelin. vozbuzhdenii, perenosa, dinamiki, upravleniya v kondensir. sistemakh i dr. sredakh” (Tver, 2-5 iyulya 1996 g.), Tverskoi gosudarstvennyi politekhnicheskii universitet, Tver, 1997, 98-106
216.	Yu. V. Kistenev, A. V. Shapovalov, “Spontaneous soliton formation in a region of vibration-rotation transition of molecular multi-component media”, Proc. SPIE, 3090 (1997), 125-128
217.	Ya. V Lisytsin., A. V. Shapovalov, Separation of variables via integral transformations, 1997, 14 pp., arXiv: solv-int/9709001

1996
218.	A. A. Drokin, A. V. Shapovalov, I. V. Shirokov, “Local symmetry algebra of Shrödinger equation for Hydrogen atom”, Theoret. and Math. Phys., 106:2 (1996), 227–236
219.	A. V. Shapovalov, I. V. Shirokov, “Noncommutative integration method for linear partial differential equations. Functional algebras and dimensional reduction”, Theoret. and Math. Phys., 106:1 (1996), 1–10
220.	Yu. V. Kistenev, A. V. Shapovalov, “Spectral distortions of optical pulses in resonant media of complex spatial structure”, Russian Physics Journal, 39:5 (1996), 435-441, Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 5, pp. 47–54, May, 1996.
221.	A. V. Kistenev, A. V. Shapovalov, “Absorbtsionnye svoistva rezonansnykh multifraktalnykh sred”, Optika i spektroskopiya, 80:4 (1996), 695-698
222.	V. A. Donchenko, Yu. A. Kreidun, A. V. Shapovalov, “Spontaneous soliton production by an optical pulse with a nonlinear shift of the carrier frequency”, Russian Physics Journal, 39:9 (1996), 815-819, Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 9, pp. 14–19, September, 1996.

1995
223.	A. V. Shapovalov, I. V. Shirokov, “Noncommutative integration of linear differential equations”, Theoret. and Math. Phys., 104:2 (1995), 921–934
224.	Yu. V. Kistenev, A. V. Shapovalov, “Dinamicheskaya neustoichivost opticheskikh kharakteristik rezonansnykh fraktalnykh struktur”, Zhurnal fizicheskoi khimii, 69:8 (1995), 1363-1367
225.	Yu. V. Kistenev, A. V. Shapovalov, “Absorbtsonnye svoistva rezonansnykh fraktalnykh sred”, Optika i spektroskopiya, 78:2 (1995), 260-265
226.	A. V. Shapovalov, I. V. Shirokov, Ya. V. Lisitsyn, V. I. Firstov, “Noncommutative four-dimensional subalgebras of conformal algebra integrable in the space R1,3”, Russian Physics Journal, 38:2 (1995), 209-212 http://link.springer.com/article/10.1007/BF00560249
227.	O. L. Varaksin, V. V. Firstov, A. V. Shapovalov, I. V. Shirokov, “Quadratic algebras applied to noncommutative integration of the Klein-Gordon equation: Four-dimensional quadratic algebras containing three-dimensional nilpotent lie algebras”, Russian Physics Journal, 38:3 (1995), 299-303
228.	V. A. Donchenko, Yu. A. Kreidun, A. V. Shapovalov, “Propagation of a soliton-like pulse in a weakly nonlinear medium”, Russian Physics Journal, 38:4 (1995), 359-363 http://link.springer.com/article/10.1007/BF00560098
229.	A. V. Shapovalov, I. V. Shirokov, Ya. V. Lisitsyn, V. I. Firstov, “Noncommutative 5-dimensional subalgebras of a conformal algebra integrable in R1,3”, Russian Physics Journal, 38:6 (1995), 641-645 http://link.springer.com/article/10.1007/BF00559936
230.	O. L. Varaksin, V. V. Firstov, A. V. Shapovalov, I. V. Shirokov, “Quadratic algebras and noncommutative integration of Klein-Gordon equations in non-steckel Riemann spaces”, Russian Physics Journal, 38:5 (1995), 508-512, Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 5, pp. 83–87, May, 1995. http://link.springer.com/article/10.1007/BF00559308
231.	Ya. V. Lisitsyn, A. V. Shapovalov, “Integration of the d'Alembert equation by means of four-dimensional nonabelian symmetry subalgebras with a single second-order operator”, Russian Physics Journal, 38:8 (1995), 804-807, Translated from Izvestiya Vysshaya Uchebnykh Zavedenii, Fizika, No. 8, pp. 48–51, August, 1995. http://link.springer.com/article/10.1007/BF00559281
232.	Yu. A. Kreidun, A. V. Shapovalov, “Quadratic mapping with periodically disturbed parameter”, Russian Physics Journal, 38:10 (1995), 1099-1103, Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 10, pp. 109–114, October, 1995. http://link.springer.com/article/10.1007/BF00559051
233.	A. V. Shapovalov, I. V. Shirokov, “Functional Algebras and Dimensional Reduction in the LPDEs Integration Problem”, Proceed. Int. Conf. “Symmetry in nonlinear mathematical physics” (Kiev, July 3-8), 4, Institute of Mathematics, NAN of Ukraine, Kiev, 1995, 62-68

1994
234.	Yu. V. Kistenev, A. V. Shapovalov, “Absorbtion of optical pulses under propagation through one-dimensional resonant fractal clusters”, Fractals, 2:4 (1994), 553-556	1 ^[x]

1993
235.	O. L. Varaksin, V. V. Firstov, A. V. Shapovalov, I. V. Shirokov, “Classification of F algebras and noncommutative integration of the Klein-Gordon equation in Riemannian spaces”, Russian Physics Journal, 36:1 (1993), 36-40, Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 1, pp. 45–50, January, 1993. http://link.springer.com/article/10.1007/BF00559253
236.	A. V. Shapovalov, S. N. Yurchenko, “Using the complex WKB method for studying the evolution of initial pulses obeying the nonlinear Schrödinger equation”, Russian Physics Journal, 36:5 (1993), 431-437, Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 5, pp. 19–25, May, 1993.
237.	M. D. Noskov, A. V. Shapovalov, “Transmission of quantum particles through a one-dimensional fractal potential barrier”, Russian Physics Journal, 36:7 (1993), 703-708, Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 7, pp. 120–127, July, 1993. http://link.springer.com/article/10.1007/BF00559090
238.	V. A. Donchenko, Yu. V. Kistenev, M. D. Noskov, A. V. Shapovalov, “Interaction of electromagnetic waves with fractal structures”, Russian Physics Journal, 36:10 (1993), 955-964, Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 10, pp. 76–87, October, 1993. http://link.springer.com/article/10.1007/BF00559160
239.	A. A. Drokin, A. V. Shapovalov, I. V. Shirokov, “Reduction and noncommutative integration of linear differential equations”, Russian Physics Journal, 36:11 (1993), 1059-1063, Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 11, pp. 55–60, November, 1993. http://link.springer.com/article/10.1007/BF00560445
240.	A. V. Shapovalov, I. V. Shirokov, “Application of approximate symmetries to the construction of solutions of classical and quantum Hamiltonian systems”, Russian Physics Journal, 36:8 (1993), 806-808, Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 8, pp. 114–117, August, 1993. http://link.springer.com/article/10.1007/BF00562038
241.	A.V. Shapovalov, I.V. Shirokov, Ya.V. Lisitsyn, “Metod nekommutativnogo integrirovaniya i kvantovye uravneniya Eilera na algebre Li so(4)”, Trudy V seminara"Gravitatsionnaya energiya i gravitatsionnye volny" (Dubna, 16-18 maya 1992), OIYaI, R2-92-55, Dubna, 1993, 186-190

1992
242.	A. V. Shapovalov, I. V. Shirokov, “Symmetry algebras of linear differential equations”, Theoret. and Math. Phys., 92:1 (1992), 697–703
243.	A. V. Shapovalov, S. N. Yurchenko, “Effect of initial pulse shape modulation on spontaneous soliton formation in the NSE model”, Russian Physics Journal, 35:6 (1992), 508-513, Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 6, pp. 19–24, June, 1992 http://link.springer.com/article/10.1007/BF00559170
244.	A. V. Shapovalov, I. V. Shirokov, “Nonlinear Poisson bracket, F-algebras, and noncommutative integration of linear differential equations”, Russian Physics Journal, 35:7 (1992), 661-666, Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 7, pp. 92–98, July, 1992 http://link.springer.com/article/10.1007/BF00559239
245.	Ya. V. Lisitsyn, A. V. Shapovalov, I. V. Shirokov, “Noncommutative integration of quantum Euler equations on the Lie algebra so (4)”, Russian Physics Journal, 35:11 (1992), 1031-1036, Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 11, pp. 45–50, November, 1992 http://link.springer.com/article/10.1007/BF00559099

1991
246.	V. G. Bagrov, A. V. Shapovalov, I. V. Shirokov, “Generation of new exactly solvable potentials of a nonstationary Schrödinger equation”, Theoret. and Math. Phys., 87:3 (1991), 635–640
247.	V. G. Bagrov, B. F. Samsonov, A. V. Shapovalov, “Separation of variables in the wave equation. Sets of the type (1.1) and Schrödinger equation”, Soviet Physics Journal, 34:2 (1991), 122-126, Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 2, pp. 44–48, February, 1991. http://link.springer.com/article/10.1007/BF00940949
248.	V. G. Bagrov, B. V. Samsonov, A. V. Shapovalov, “Separation of variables in the wave equation. Sets of the type (1.1) and the algebra SU(1.2)”, Soviet Physics Journal, 34:2 (1991), 168-171, Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 2, pp. 102–105, February, 1991. http://link.springer.com/article/10.1007/BF00940962
249.	A. V. Shapovalov, I. V. Shirokov, “Representations of Lie algebras and the problem of noncommutative integrability of linear differential equations”, Soviet Physics Journal, 34:4 (1991), 360-364, Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 4, pp. 95–100, April, 1991 http://link.springer.com/article/10.1007/BF00898104
250.	V. G. Bagrov, B. F. Samsonov, A. V. Shapovalov, I. V. Shirokov, “Complete sets of symmetry operators containing a second-order operator and the problem of separation of variables in the wave equation”, Soviet Physics Journal, 34:4 (1991), 377-381, Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 4, pp. 115–119, April, 1991. http://link.springer.com/article/10.1007/BF00898108
251.	V. G. Bagrov, B. F. Samsonov, A. V. Shapovalov, “Some problems of symmetry of the Schrödinger equations”, Soviet Physics Journal, 34:4 (1991), 382-385, Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 4, pp. 120–123, April, 1991 http://link.springer.com/article/10.1007/BF00898109
252.	A. V. Shapovalov, I. V. Shirokov, “Noncqmmutative integration of Klein-Gordon and Dirac equations in Riemannian spaces with a group of motions”, Soviet Physics Journal, 34:5 (1991), 411-415, Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 5, pp. 33–38, May, 1991 http://link.springer.com/article/10.1007/BF00897400
253.	V. G. Fedoseev, A. V. Shapovalov, I. V. Shirokov, “Noncommutative integration of the Dirac equation in Riemann spaces possessing a group of automorphisms”, Soviet Physics Journal, 34:9 (1991), 777-781, Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 9, pp. 43–46, September, 1991 http://link.springer.com/article/10.1007/BF00896710
254.	V. G. Bagrov, A. V. Shapovalov, I. V. Shirokov, “Enveloping algebra identities on solutions of conformally invariant wave equations”, Soviet Physics Journal, 34:9 (1991), 751-755, Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 9, pp. 14–18, September, 1991 http://link.springer.com/article/10.1007/BF00896704
255.	V. G. Bagrov, A. V. Shapovalov, I. V. Shirokov, “Methods of generating integrable potentials for the Sochrödinger equation and nonlocal symmetries”, Soviet Physics Journal, 34:9 (1991), 755-761, Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 9, pp. 19–25, September, 1991 http://link.springer.com/article/10.1007/BF0089670
256.	V. G. Bagrov, V. S. Mitkovskii, A. V. Shapovalov, “Konformno-shtekkelevy prostranstva vakuuma tipa (2.0).Metriki tipa N i 0 po Petrovu”, “Klassicheskie i kvantovostatisticheskie problemy relyativistskoi teorii gravitatsii”. Vsesoyuznaya gravitatsionnaya assotsiatsiya., Kazanskii gosudarstvennyi universistet, Kazan, 1991, 95-108
257.	V. G. Bagrov, A. V. Shapovalov, A. A. Yevseyvich, “Separation of variables in Dirac equation in Srackel Spaces.II. External gauge fields.”, Classical and Quantum Gravitity, 8:1 (1991), 163-173 http://iopscience.iop.org/0264-9381/8/1/016	14 ^[x]

1990
258.	V. G. Bagrov, B. F. Samsonov, A. V. Shapovalov, I. V. Shirokov, “Identities on solutions of the wave equation in the enveloping algebra of the conformal group”, Theoret. and Math. Phys., 83:1 (1990), 347–353
259.	V. G. Bagrov, A. A. Yevseyevich, A. V. Shapovalov, “Separation of variables in the Dirac equation in Stackel spaces”, Classical and Quantum Gravitity, 7:4 (1990), 517-531 http://iopscience.iop.org/0264-9381/7/4/004	24 ^[x]
260.	A. V. Shapovalov, I. V. Shirokov, “Ob algebre simmetrii lineinogo differentsialnogo uravneniya”, “Sovremennyi gruppovoi analiz: Metody i prilozheniya. Nekotorye zadachi sovremennoi fiziki”, Vyp. 116, eds. A.V.Flegontov, LII AN, Leningrad, 1990, 52-58
261.	V. G. Bagrov, B. F. Samsonov, A. V. Shapovalov, I. V. Shirokov, “Subalgebras of the algebra of a conformal group with nontrivial center”, Soviet Physics Journal, 33:5 (1990), 416-419, Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 5, pp. 45–48, May, 1990. http://link.springer.com/article/10.1007/BF00896080
262.	V. G. Bagrov, B. F. Samsonov, A. V. Shapovalov, I. V. Shirokov, “Commutative subalgebras of three first-order symmetry operators and separation of variables in the wave equation”, Sovet Physics Journal, 33:5 (1990), 448-452, Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 5, pp. 79–84, May, 1990. http://link.springer.com/article/10.1007/BF00896088
263.	A. A. Nalivaiko, A. V. Shapovalov, “Evolyutsiya pryamougolnogo impulsa v ramkakh nelineinogo uravneniya Shredingera”, Izvestiya vuzov, Fizika, 33:7 (1990), 107-108
264.	V.G Bagrov, A.V Shapovalov, I.V Shirokov, “A new method of exact solution generation for the one-dimensional Schrödinger equation”, Physics Letters A, 147:7 (1990), 348–350 http://dx.doi.org/10.1016/0375-9601(90)90551-X	11 ^[x]
265.	V. G. Bagrov, B. F. Samsonov, A. V. Shapovalov, “Subalgebras of the Schrödinger algebra with nontrivial centers”, Soviet Physics Journal, 33:7 (1990), 553-556, Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 7, pp. 5–9, July, 1990. http://link.springer.com/article/10.1007/BF00899100
266.	V. G. Bagrov, B. F. Samsonov, A. V. Shapovalov, “Free Schrödinger equation analyzed in terms of the wave equation”, Soviet Physics Journal, 33:7 (1990), 600-604, Translated from Izvestiya Vysshikh uchebnykh Zavedenii, Fizika, No. 7, pp. 59–64, July 1990. http://link.springer.com/article/10.1007/BF00899111
267.	V. G. Bagrov, A. A. Evseevich, A. V. Shapovalov, “Tochnye resheniya uravneniya Diraka v klasse shtekkelevykh prostranstv tipa (2.1)”, Trudy II seminara “Gravitatsionnaya energiya i gravitatsionnye volny”, R 2-90-245, OIYaI, Dubna, 1990, 117-123
268.	V. G. Bagrov, A. A. Evseevich, A. V. Shapovalov, “Razdelenie peremennykh v uravnenii Diraka v prostranstvakh Shtekkelya”, Gravitatsiya i obschaya teoriya otnositelnosti, No 27, Kazanskii gosudarstvennyi universistet, Kazan, 1990, 55-79
269.	V. G. Bagrov, A. V. Shapovalov, I. V. Shirokov, “Novyi klass tochnykh reshenii uravneniya Shredingera i nelokalnye simmetrii”, “Gravitatsiya i elektromagnetizm”, vyp. 5, “Universitetskoe”, Minsk, 1990, 12-15

1989
270.	É. V. Lugin, A. V. Shapovalov, “Propagation of optical pulses at an absorption line in the presence of a weak nonlinearity”, Soviet Physics Journal, 32:2 (1989), 106-109, Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 2, pp. 36–39, February, 1989 http://link.springer.com/article/10.1007/BF00898669
271.	A. A. Evseevich, A. V. Shapovalov, “Classification of the Dirac equation with an external SU(3) gauge field admitting a first-order symmetry operator of special type”, Sovet Physics Journal, 32:6 (1989), 427-431, Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 6, pp. 22–21, June, 1989 http://link.springer.com/article/10.1007/BF00898623
272.	V. G. Bagrov, A. V. Shapovalov, A. A. Evseevich, “Yang-Mills fields permitted by abelian complete sets of first-order symmetry operators of the Dirac equation”, Soviet Physics Journal, 32:10 (1989), 781-784, Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 10, pp. 30–34, October, 1989. http://link.springer.com/article/10.1007/BF00898306
273.	V. A. Donchenko, M. V. Kabanov, E. V. Lugin, A. A. Nalivaiko, A. V. Shapovalov, “Effekty vzaimodeistviya opticheskikh impulsov v slabo nelineinoi pogloschayuschei srede”, Optika atmosfery, 2:12 (1989), 1286-1290
274.	V. G. Bagrov, A. V. Shapovalov, I. V. Shirokov, “Metod generatsii novykh tochnykh reshenii odnomernogo uravneniya Shredingera”, Izvestiya vuzov, Fizika, 32:11 (1989), 112-114
275.	V. G. Bagrov, B. F. Samsonov, A. V. Shapovalov, I. V. Shirokov, “Algebraicheskie svoistva volnovogo uravneniya i problema razdeleniya peremennykh”, “Gravitatsiya i elektromagnetizm”, vyp. 4, “Universitetskoe”, Minsk, 1989, 20-34
276.	V.G. Bagrov, B.F. Samsonov, A.V. Shapovalov, I.V. Shirokov, “Simmetriya i razdelenie peremennykh v uravnenii Dalambera”, “Sovrem.gruppovoi analiz: Metody i prilozheniya”, Elm, Baku, 1989, 32-36

1988
277.	V. A. Donchenko, M. V. Kabanov, E. V. Lugin, A. A. Nalivaiko, A. V. Shapovalov, “O formirovanii opticheskikh impulsov v linii pogloscheniya slabo nelineinoi sredy”, Optika atmosfery, 1:1 (1988), 67-72
278.	V. S. Mitkovskii, A. V. Shapovalov, “Konformnoe otobrazhenie prostranstv Shtekkelya na prostranstva Einshteina. Postanovka zadachi i nekotorye klassy prostranstv tipa (2.0)”, “Gravitatsiya i elektromagnetizm”, Universitetskoe, Minsk, 1988, 155-162
279.	V. A. Donchenko, M. V. Kabanov, E. V. Lugin, A. A. Nalivaiko, A. V. Shapovalov, “O vozmozhnom formirovanii ustoichivykh impulsov v slabo nelineinoi srede”, “Nelineinaya optika i optoakustika atmosfery”, TF SO AN SSSR, Tomsk, 1988, 119-123
280.	V. G. Bagrov, A. A. Evseevich, A. V. Shapovalov, Razdelenie peremennykh v uravnenii Diraka v prostranstvakh Shtekkelya tipov (2.0), (2.1), Preprint N9, TF SO AN SSSR, Tomsk, 1988, 43 pp.

1987
281.	E. V. Lugin, A. V. Shapovalov, “Rasprostranenie svetovykh impulsov spetsialnoi formy v srede s pogloscheniem”, Izvestiya vuzov, Fizika, 37:9 (1987), 102-104

1986
282.	V. G. Bagrov, A. V. Shapovalov, “Symmetry of the Dirac equation with an external non-Abelian gauge field”, Soviet Physics Journal, 29:3 (1986), 235-242, Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 3, pp. 95–103, March, 1986. http://link.springer.com/article/10.1007/BF00891885
283.	V. G. Bagrov, V. V. Obukhov, A. V. Shapovalov, “Spesial Stackel Electrovac Space-times”, Pramana Journal of Physics, 26:2 (1986), 93-108 http://www.ias.ac.in/j_archive/pramana/26/2/93-108/viewpage.html	17 ^[x]
284.	V. G. Bagrov, V. V. Obukhov, A. V. Shapovalov, “Spetsialnye shtekkelevy prostranstva elektrovakuuma”, Gravitatsiya i obschaya teoriya otnositelnosti, Vyp. 23, Kazanskii gosudarstvennyi universistet, Kazan, 1986, 10-30
285.	V. G. Bagrov, V. V. Obukhov, A. V. Shapovalov, “Polya tyagoteniya v probleme Vaidya, dopuskayuschie razdelenie peremennykh v uravnenii Gamiltona-Yakobi”, Izvestiya vuzov, Fizika, 29:10 (1986), 3-8
286.	V. G. Bagrov, V. V. Obukhov, A. V. Shapovalov, “Gravitation field in the Vaidya problem allowing separation of variables in the Hamilton-Jacobi equation”, Soviet Physics Journal, 29:10 (1986), 775-779, ranslated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 10, pp. 3–8, October, 1986. http://link.springer.com/article/10.1007/BF00900736
287.	V. G. Bagrov, V. V. Obukhov, K. E. Osetrin, A. V. Shapovalov, “Elektrovakuumnye prostranstva Shtekkelya-Vaidya tipa (n.1)”, Problemy gravitatsii, Moskovskii gosudarstvennyi universitet, Moskva, 1986, 159-167
288.	V. F. Konusov, A. A. Vaal, A. V. Shapovalov, Osnovy teorii konechnykh grupp dlya fizikov (Uchebnoe posobie), Tomskii gosudarstvennyi universitet, Tomsk, pr. Lenina, 36, 1986, 190 pp.

1984
289.	V. G. Bagrov, V. V. Obukhov, A. V. Shapovalov, “Special Stâckel spaces of the electrovacuum”, Soviet Physics Journal, 27:8 (1984), 645-647, Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 8, pp. 20–22, August, 1984. http://link.springer.com/article/10.1007/BF00893103

1983
290.	V. G. Bagrov, V. V. Obukhov, A. V. Shapovalov, “Shtekkelevy prostranstva elektrovakuuma s dvukhparametricheskoi abelevoi gruppoi dvizhenii. Nabor tipa (2.1)”, Izvestiya vuzov, Fizika, 26:1 (1983), 6-10
291.	V. G. Bagrov, V. V. Obukhov, A. V. Shapovalov, “Stueckel spaces of the electrovacuum with two-parameter Abelian group of motions. Formulation of the problem and sets of the type (2.1)”, Soviet Physics Journal, 26:1 (1983), 4-8, Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 1, pp. 6–10, January 1983. http://link.springer.com/article/10.1007/BF00892169
292.	V. G. Bagrov, V. V. Obukhov, A. V. Shapovalov, “Stueckel spaces of the electrovacuum with a two-parameter Abelian group of motions. Set of the type (2.0)”, Soviet Physics Journal, 26:3 (1983), 313-317, Translated from Izvestiya Vysshih Uchebnykh Zavedenii, Fizika, No. 3, pp. 115–120, March, 1983. http://link.springer.com/article/10.1007/BF00895153
293.	V. G. Bagrov, V. V. Obukhov, A. V. Shapovalov, “Shtekkelevy prostranstva elektrovakuuma s dvukhparametricheskoi abelevoi gruppoi dvizhenii”, Izvestiya vuzov, Fizika, 26:12 (1983), 104-106

1981
294.	V. G. Bagrov, V. V. Obukhov, A. V. Shapovalov, “O polyakh III tipa po klassifikatsii Petrova”, Izvestiya vuzov, Fizika, 24:10 (1981), 102-103

1980
295.	V. V. Obukhov, A. V. Shapovalov, Obukhov V.V., Shapovalov A.V. O neterovskikh dopustimykh operatorakh i zakonakh sokhraneniya uravneniya Sin-Gordon, Rukopis deponirovana v VINITI Reg. N2242-80 Dep. (18 s.), 1980

1978
296.	V. G. Bagrov, D. M. Gitman, V. N. Zadorozhnyi, A. V. Shapovalov, V. N. Shapovalov, “New exact solutions of the Dirac equation. IX”, Soviet Physics Journal, 21:3 (1978), 304-307, Translated from Izvestiya Vysshikh Uchebenykh Zavedenii, Fizika, No. 3, pp. 46–49, March, 1978. http://link.springer.com/article/10.1007/BF00894722

1979
297.	A. V. Shapovalov, “Finite-dimensional irreducible representations of Hamiltonian Lie superalgebras”, Math. USSR-Sb., 35:4 (1979), 541–554

1977
298.	V. G. Bagrov, D. M. Gitman, A. V. Shapovalov, “Integrals of the motion for an electron in a quantized plane electromagnetic wave”, Soviet Physics Journal, 20:2 (1977), 233-237, Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 2, pp. 116-121, February, 1977. Original article submitted May 28, 1976. http://link.springer.com/article/10.1007/BF01297392
299.	V. G. Bagrov, D. M. Gitman, A. V. Shapovalov, V. N. Shapovalov, “New exact solutions of the Dirac equations. VI”, Soviet Physics Journal, 20:6 (1977), 783-790, Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 6, pp. 105–114, June, 1977. http://link.springer.com/article/10.1007/BF00892767
300.	V. G. Bagrov, D. M. Gitman, N. B. Sukhomlin, A. V. Shapovalov, V. N. Shapovalov, “New exact solutions of the Dirac equation. VII”, Soviet Physics Journal, 20:7 (1977), 871-876, Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 7, pp. 46–51, July, 1977. http://link.springer.com/article/10.1007/BF00893130

1976
301.	V. N. Shapovalov, A. V. Shapovalov, “Separation of variables in the Klein-Gordon quation for superposition of a quantized and a classical field”, Soviet Physics Journal, 19:1 (1976), 14-17, Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 1, pp. 23–27, January, 1976. http://link.springer.com/article/10.1007/BF00894306
302.	A. V. Shapovalov, V. N. Shapovalov, “Structure of a linear canonical transformation”, Soviet Physics Journal, 19:4 (1976), 514-515, Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 4, pp. 132–134, April, 1976. http://link.springer.com/article/10.1007/BF00951987

1975
303.	V. G. Bagrov, D. M. Gitman, A. G. Meshkov, V. I. Simanchuk, N. I. Fedosov, A. V. Shapovalov, V. N. Shapovalov, “New exact solutions of the Dirac equation. IV”, Soviet Physics Journal, 18:8 (1975), 1123-1127, Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 8, pp. 73–79, August, 1975. http://link.springer.com/article/10.1007/BF01110034
304.	V. G. Bagrov, A. G. Meshkov, V. N. Shapovalov, A. V. Shapovalov, “Separation of variables in the Klein-Gordon equations. IV”, Soviet Physics Journal, 18:3 (1975), 431-432, Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 3, pp. 152–154, March, 1975. http://link.springer.com/article/10.1007/BF00889324

1974
305.	V. G. Bagrov, A. G. Meshkov, V. N. Shapovalov, A. V. Shapovalov, “Separation of variables in the Klein-gordon equations. III”, Soviet Physics Journal, 17:6 (1974), 812-815, Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 6, pp. 74–78, June, 1974. http://link.springer.com/article/10.1007/BF00890216

1973
306.	V. G. Bagrov, A. G. Meshkov, V. N. Shapovalov, A. V. Shapovalov, “Separation of variables in the Klein — Gordon equation. I”, Soviet Physics Journal, 16:11 (1973), 1533-1538, Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 11, pp. 66–72, November, 1973 http://link.springer.com/article/10.1007/BF00889957
307.	V. G. Bagrov, A. G. Meshkov, V. N. Shapovalov, A. V. Shapovalov, “Separation of variables in the Klein-Gordon equations. II”, Soviet Physics Journal, 16:12 (1973), 1659-1665, Translated from Izvestiya VUZ, Fizika, No. 12, pp. 45–52, December, 1973. http://link.springer.com/article/10.1007/BF00893656