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 2025 |
| 1. |
A. B. Plachenov, I. A. So, A. P. Kiselev, “Strongly unidirectional and weakly directional pulses”, Physics Letters A, 554 (2025), 130752 , 4 pp.  |
|
| 2024 |
| 2. |
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   |
| 3. |
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  |
| 4. |
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  |
| 5. |
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, 2024) (St. Petersburg,10-14 June, 2024), IEEE, 2024, 158–161 |
|
| 2023 |
| 6. |
A. B. Plachenov, P. Chamorro-Posada, A. P. Kiselev, “Nonparaxial tilted waveobjects”, Journal of Lightwave Technology, 41:7 (2023), 2212 –2224  |
| 7. |
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  |
| 8. |
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 |
| 9. |
E. A. Zlobina, A. P. Kiselev, “Fresnel-type transition zones”, Journal of Communications Technology and Electronics, 68:6 (2023), 639–648 |
| 10. |
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 |
|
| 2022 |
| 11. |
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 |
| 12. |
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  |
|
| 2021 |
| 13. |
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 |
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| 2022 |
| 14. |
E. A. Zlobina, A. P. Kiselev, “Short-wavelength diffraction by a contour with Hölder-type singularity in curvature”, St. Petersburg Math. Journal, 33:2 (2022), 207–222 |
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| 2021 |
| 15. |
A. P. Kiselev, T. A. Suslina, “Preface”, Algebra i Analiz, 33:2 (2021), 3–4 |
| 16. |
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 |
|
| 2020 |
| 17. |
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. |
| 18. |
I. A. So, A. B. Plachenov, A. P. Kiselev, “Simple unidirectional finite-energy pulses”, Physical Review A, 102:6 (2020), 063529 , 6 pp. |
| 19. |
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. |
| 20. |
I. A. So, A. B. Plachenov, A. P. Kiselev, “Unidirectional single-cycle and sub-cycle pulses”, Optics and Spectroscopy, 128:12 (2020), 2000-2001 |
|
| 2019 |
| 21. |
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 |
| 22. |
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 |
| 23. |
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. |
| 24. |
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. |
| 25. |
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 |
| 26. |
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 |
| 27. |
J. Math. Sci. (N. Y.), 243:5 (2019), 682–688 |
|
| 2018 |
| 28. |
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 |
|
| 2017 |
| 29. |
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 |
| 30. |
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 |
| 31. |
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 |
|
| 2016 |
| 32. |
A. P. Kiselev, A. B. Plachenov, “Laplace-Gauss and Helmholtz-Gauss paraxial modes in media with quadratic refraction index”, Journal of the Optical Society of America A, 33:4 (2016), 663–666 |
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| 2017 |
| 33. |
A. P. Kiselev, “General surface waves in layered anisotropic elastic structures”, J. Math. Sci. (N. Y.), 224:1 (2017), 90–93 |
| 34. |
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 |
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| 2015 |
| 35. |
A. M. Tagirdzhanov, A. P. Kiselev, “Complexified Spherical Waves and Their Sources. A Review”, Optics and Spectroscopy, 119:2 (2015), 257–267 |
| 36. |
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 |
|
| 2016 |
| 37. |
A. M. Tagirdzhanov, A. P. Kiselev, “Gaussian wave packet based on the “complex source””, J. Math. Sci. (N. Y.), 214:3 (2016), 372–381 |
|
| 2015 |
| 38. |
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 |
|
| 2018 |
| 39. |
Babich V. M., Kiselev A. P., Elastic Waves: High Frequency Theory, CRC Press, Taylor & Chapman, Boca Raton – London – New York, 2018 |
|
| 2012 |
| 40. |
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. |
| 41. |
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 |
|
| 2011 |
| 42. |
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 |
| 43. |
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. |
| 44. |
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 |
|
| 2010 |
| 45. |
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 |
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| 2009 |
| 46. |
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 |
| 47. |
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 |
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| 2008 |
| 48. |
A. L. Shuvalov, O. Poncelet, A. P. Kiselev, “Shear horizontal waves in transversely inhomogeneous plates”, Wave Motion, 45:5 (2008), 605–615 |
| 49. |
D. F. Parker, A. P. Kiselev, “Rayleigh waves having generalized lateral dependence”, Quart. J. Mech. Appl. Math., 62:1 (2008), 19–29 |
| 50. |
A. P. Kiselev, A. M. Tagirdzhanov, “Love Waves with a Transverse Structure”, Vestnik St. Petersburg University. Mathematics, 41:3 (2008), 136–143 |
| 51. |
A. P. Kiselev, “Plane waves with a transverse structure
in an arbitrarily anisotropic elastic medium”, Doklady Physics, 53:1 (2008), 48–50 |
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