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Kiselev Aleksei Prokhorovich

Publications


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   2024
1. A. B. Plachenov, A. P. Kiselev, “Odnonapravlennye impulsy: otnositelno neiskazhayuschiesya kvazisfericheskie volny, integraly Fure−Besselya i razlozheniya po ploskim volnam”, Optika i Spektroskopiya, 132:4 (2024), 429–433 , arXiv: 2403.09694v3  mathnet  crossref  crossref  elib
2. A. B. Plachenov, I. A. So, A. P. Kiselev, “Simple unidirectional few-cycle electromagnetic pulses”, Journal of the Optical Society of America B, 41:11 (2024), 2606–2612  crossref
3. A. B. Plachenov, A. P. Kiselev, “A Finite-Energy Solution of the Wave Equation, Whose Asymptotics at Infinity Is Not a Spherical Wave”, Differential Equations, 60:11 (2024), 1634–1636 (to appear)  crossref  crossref
4. E. A. Zlobina, N. S. Fedorov, A. P. Kiselev, “Paraxial wave propagation along a delta potential”, Proceedings of the International Conference “Days on Diffraction 2024” (St. Petersburg,10-14 June, 2024), IEEE, 2024, 158–161  crossref

   2023
5. A. B. Plachenov, P. Chamorro-Posada, A. P. Kiselev, “Nonparaxial tilted waveobjects”, Journal of Lightwave Technology, 41:7 (2023), 2212 –2224  crossref
6. E. A. Zlobina, A. P. Kiselev, “Diffraction of a Whispering Gallery Mode at a Jumply Straightening of the Boundary”, Acoustical Physics, 69:2 (2023), 133–142  crossref  crossref  scopus
7. E. A. Zlobina, A. P. Kiselev, “The Malyuzhinets—Popov diffraction problem revisited”, Wave Motion, 121 (2023), 103172 , 16 pp. https://doi.org/10.1016/j.wavemoti.2023.103172  crossref  scopus
8. E. A. Zlobina, A. P. Kiselev, “Fresnel-type transition zones”, Journal of Communications Technology and Electronics, 68:6 (2023), 639–648  crossref  crossref  scopus
9. I. A. Blagoveshchenskii, A. P. Kiselev, “Singular astigmatic splash pulse is a solution of the homogeneous wave equation”, Mathematical problems in the theory of wave propagation. Part 53, Zap. Nauchn. Sem. POMI, 521, POMI, St. Petersburg, 2023, 54–58  mathnet

   2022
10. A. S. Blagoveshchensky, E. A. Zlobina, A. P. Kiselev, “Two-dimensional analogs of the classical Bateman wave are solutions of problems with moving sources”, Differential Equations, 58:2 (2022), 275–279  crossref  crossref  zmath  scopus
11. E. A. Zlobina, A. P. Kiselev, “Transition zone in high-frequency diffraction on impedance contour with jumping curvature. Kirchhoff’s method and boundary layer method”, Journal of Communications Technology and Electronics, 67:2 (2022), 130–139  crossref  crossref  isi  scopus

   2021
12. M. I. Belishev, S. Yu. Dobrokhotov, I. A. Ibragimov, A. P. Kiselev, S. V. Kislyakov, M. A. Lyalinov, Yu. V. Matiyasevich, V. G. Romanov, V. P. Smyshlyaev, T. A. Suslina, N. N. Ural'tseva, “Vasilii Mikhailovich Babich (on his ninetieth birthday)”, Russian Math. Surveys, 76:1 (2021), 193–194  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi

   2022
13. E. A. Zlobina, A. P. Kiselev, “Short-wavelength diffraction by a contour with Hölder-type singularity in curvature”, St. Petersburg Math. J., 33:2 (2022), 207–222  mathnet  crossref

   2021
14. A. P. Kiselev, T. A. Suslina, “Preface”, Algebra i Analiz, 33:2 (2021), 3–4  mathnet
15. V. M. Babich, M. I. Belishev, M. N. Demchenko, G. L. Zavorokhin, V. V. Zalipaev, N. Ya. Kirpichnikova, A. P. Kiselev, D. V. Korikov, A. S. Mikhailov, S. A. Simonov, Z. A. Yanson, “Mikhail Mikhailovich Popov”, Mathematical problems in the theory of wave propagation. Part 51, Zap. Nauchn. Sem. POMI, 506, POMI, St. Petersburg, 2021, 7–8  mathnet

   2020
16. A. B. Plachenov, P. Chamorro-Posada, A. P. Kiselev, “Quadratic Bessel–Gauss beams and the azimuthal angular spectra of Gaussian astigmatic beams”, Physical Review A, 102:2 (2020), 023533 , 11 pp.  crossref  mathscinet  adsnasa  isi  scopus
17. I. A. So, A. B. Plachenov, A. P. Kiselev, “Simple unidirectional finite-energy pulses”, Physical Review A, 102:6 (2020), 063529 , 6 pp.  crossref  adsnasa  isi  scopus
18. E. A. Zlobina, A. P. Kiselev, “Boundary-layer approach to high-frequency diffraction by a jump of curvature”, Wave Motion, 96 (2020), 102571 , 13 pp.  crossref  mathscinet  isi  scopus
19. I. A. So, A. B. Plachenov, A. P. Kiselev, “Unidirectional single-cycle and sub-cycle pulses”, Optics and Spectroscopy, 128:12 (2020), 2000-2001  mathnet  crossref  crossref  adsnasa  isi  elib  scopus

   2019
20. A. S. Blagoveshchenskii, A. P. Kiselev, “Bateman–Hörmander Two-Dimensional Waves with a Singularity at a Running Point”, Math. Notes, 106:5 (2019), 846–849  mathnet  crossref  crossref  mathscinet  mathscinet  isi  elib  scopus
21. E. A. Zlobina, A. P. Kiselev, “Two-dimensional singular splash modes”, Mathematical problems in the theory of wave propagation. Part 49, Zap. Nauchn. Sem. POMI, 483, POMI, St. Petersburg, 2019, 79–84  mathnet
22. I. A. So, A. P. Kiselev, A. B. Plachenov, “Gaussian-type beams in longitudinally inhomogeneous, lens-like media. Gradual transition from waveguide to antiwaveguide”, Europhysics Letters, 127:6 (2019), 64002 , 5 pp.  crossref  mathscinet  adsnasa  isi  scopus
23. A. P. Kiselev, A. B. Plachenov, “Astigmatic Gaussian beams: Exact solutions of the Helmholtz equation in free space”, Journal of Physics Communications, 3:11 (2019), 115004 , 7 pp.  crossref  adsnasa  isi  scopus
24. A. M. Tagirdzhanov, A. P. Kiselev, “Nonintegrability of the energy density of "complex sources wavefields”, 2019 Days on Diffraction (St.Petersburg 2019), eds. O. V. Motygin, A. P. Kiselev, L. I. Goray, A. A. Fedotov, A. Ya. Kazakov, A. S. Kirpichnikova, IEEE, 2019, 201–203  crossref  scopus
25. E. A. Zlobina, A. P. Kiselev, “High-frequency diffraction by a contour with a jump of curvature. Limit ray”, J. Math. Sci. (N. Y.), 243:5 (2019), 707–714  mathnet  crossref  mathscinet  scopus
26. J. Math. Sci. (N. Y.), 243:5 (2019), 682–688  mathnet  crossref  mathscinet  scopus

   2018
27. A. P. Kiselev, “Erratum to: “Time-harmonic Gaussian beams: exact solutions of the Helmhotz equation in free space””, Optics and Spectroscopy, 124:3 (2018), 450  mathnet  crossref  elib

   2017
28. A. S. Blagoveshchenskii, A. P. Kiselev, “A relation between two simple localized solutions of the wave equation”, Comput. Math. Math. Phys., 57:6 (2017), 953–955  mathnet  crossref  crossref  mathscinet  isi  elib  scopus
29. A. P. Kiselev, A. B. Plachenov, G. N. Dyakova, “On the analyticity of waveforms in complexified relatively undistorted progressing waves”, Journal of Electromagnetic Waves and Applications, 31:13 (2017), 1325–1332  crossref  isi  scopus
30. A. B. Plachenov, I. A. So, A. P. Kiselev, “Paraxial Gaussian modes with simple astigmatic phases and nonpolynomial amplitudes”, 2017 Days on Diffraction (St.Petersburg, June 19–23), 264–269, eds. O. V. Motygin, A. P. Kiselev, L. I. Goray, T. A. Suslina, A. Ya. Kazakov, A. S. Kirpichnikova, IEEE, 2017, 264–269  crossref  scopus
31. A. P. Kiselev, “General surface waves in layered anisotropic elastic structures”, J. Math. Sci. (N. Y.), 224:1 (2017), 90–93  mathnet  crossref  mathscinet  zmath  scopus
32. A. S. Blagovestchenskii, A. P. Kiselev, A. M. Tagirdzhanov, “Simple solutions of the wave equation, singular at a ranning point, based on the complexified Bateman solution”, J. Math. Sci. (N. Y.), 224:1 (2017), 47–53  mathnet  crossref  mathscinet  zmath  scopus

   2015
33. A. M. Tagirdzhanov, A. P. Kiselev, “Complexified Spherical Waves and Their Sources. A Review”, Optics and Spectroscopy, 119:2 (2015), 257–267  crossref  crossref  adsnasa  scopus
34. A. P. Kiselev, A. M. Tagirdzhanov, “Paradoxical Properties of Nonstationary Wavefields of Point Sources in Isotropic Elastic Medium”, Acoustical Physics, 61:4 (2015), 388–391  crossref  crossref  adsnasa  scopus

   2016
35. A. M. Tagirdzhanov, A. P. Kiselev, “Gaussian wave packet based on the “complex source””, J. Math. Sci. (N. Y.), 214:3 (2016), 372–381  mathnet  crossref  mathscinet  zmath  scopus

   2015
36. A. M. Tagirdzhanov, A. S. Blagovestchenskii, A. P. Kiselev, “Time-harmonic “complex source” wavefields and their sources in real space”, J. Math. Sci. (N. Y.), 206:3 (2015), 315–327  mathnet  crossref  mathscinet  zmath  scopus

   2018
37. Babich V. M., Kiselev A. P., Elastic Waves: High Frequency Theory, CRC Press, Taylor & Chapman, Boca Raton – London – New York, 2018  mathscinet  zmath

   2012
38. A. P. Kiselev, A. B. Plachenov, P. Chamorro-Posada, “Nonparaxial wave beams and packets with general astigmatism”, Physical Review A, 85:4 (2012), 043835 , 11 pp.  crossref  adsnasa  scopus
39. A. P. Kiselev, A. B. Plachenov, “Exact solutions of the $m$-dimensional wave equation from paraxial ones. Further generalization of the Bateman solution”, J. Math. Sci. (N. Y.), 185:4 (2012), 605–610  mathnet  crossref  mathscinet  zmath  scopus

   2011
40. I. A. Ibragimov, A. M. Il'in, A. P. Kiselev, S. V. Kislyakov, L. D. Faddeev, “Vasilii Mikhailovich Babich (on his eightieth birthay)”, Russian Math. Surveys, 66:1 (2011), 205–208  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
41. A. M. Tagirdzhanov, A. S. Blagovestchenskii, A. P. Kiselev, “"Complex source wavefields: sources in real space”, Journal of Physics A: Mathematical and Theoretical, 44:42 (2011), 425203 , 15 pp.  crossref  mathscinet  zmath  scopus
42. V. M. Babich, A. P. Kiselev, “Conference Days on Diffraction – the successor of All Union symposia and schools on diffracion theory”, J. Math. Sci. (N. Y.), 175:6 (2011), 621–622  mathnet  crossref  zmath  scopus

   2010
43. A. P. Kiselev, D. F. Parker, “Omni-directional Rayleigh, Stoneley and Schölte waves with general time-dependence”, Proc. Roy. Soc. London, Ser. A, 466:2120 (2010), 2241–2258  crossref  mathscinet  zmath  adsnasa  scopus

   2009
44. A. P. Kiselev, G. A. Rogerson, “Laterally dependent surface waves in an elastic medium with a general depth dependence”, Wave Motion, 46:8 (2009), 539–547  crossref  mathscinet  zmath  elib
45. I. V. Kamotskii, A. P. Kiselev, “An energy approach to the proof of the existence of Rayleigh waves in an anisotropic elastic half-space”, Journal of Applied Mathematics and Mechanics (PMM), 73:4 (2009), 464–470  crossref  mathscinet  zmath  adsnasa  scopus

   2008
46. A. L. Shuvalov, O. Poncelet, A. P. Kiselev, “Shear horizontal waves in transversely inhomogeneous plates”, Wave Motion, 45:5 (2008), 605–615  crossref  mathscinet  zmath  elib  scopus
47. D. F. Parker, A. P. Kiselev, “Rayleigh waves having generalized lateral dependence”, Quart. J. Mech. Appl. Math., 62:1 (2008), 19–29  crossref  scopus
48. A. P. Kiselev, A. M. Tagirdzhanov, “Love Waves with a Transverse Structure”, Vestnik St. Petersburg University. Mathematics, 41:3 (2008), 136–143  crossref  mathscinet  zmath  scopus
Full list of publications


© Steklov Math. Inst. of RAS, 2025