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Kiselev, Aleksei Prokhorovich

Statistics
in MathSciNet: 61 (57)
in zbMATH: 50 (45)
in Web of Science: 17 (14)
in Scopus: 73 (72)
Kiselev, Aleksei Prokhorovich
Professor
Doctor of physico-mathematical sciences
E-mail: ,
Keywords: Diffraction, wave propagation, exact solutions, asymptotic solutions
UDC: 550.3, 534.2, 517.9, 539.3, 517.95, 550.34, 534.1, 517.946, 539, 517.934, 534.213, 531, 535

Subject:

Diffraction and wave propagation

Biography

Physics faculty, Leningrad University, 1971.

PhD in mathematical physics supervised by V.M.Babich: Point sources and focuses in inhomogeneous media, Leningard branch of Steklov math. Institute, 1977.

Dr Sci Dissertation in mechanics of deformable solid body: Ray method and "nonray phenomena" in the theory of elastic waves, faculty of mathematics and mechanics of St. Petersburg State University, 1991.

   
Main publications:
  1. Babich V. M., Kiselev A. P., Elastic Waves: High Frequency Theory, CRC Press, Taylor & Chapman, Boca Raton – London – New York, 2018  mathscinet  zmath
  2. A. P. Kiselev, “Localized light waves: Paraxial and exact solutions of the wave equation (a review)”, Optics and Spectroscopy, 102:4 (2007), 603–622  crossref  adsnasa  scopus
  3. A. P. Kiselev, “Rayleigh wave with a transverse structure”, Proc. Roy. Soc. London, Ser. A, 460:2050 (2004), 3059-3064  crossref  zmath  adsnasa  scopus
  4. A. P. Kiselev, M. V. Perel, “Highly localized solutions of the wave equation”, Journal of Mathematical Physics, 41:4 (2000), 1934–1955  crossref  mathscinet  zmath  adsnasa  scopus

https://www.mathnet.ru/eng/person18810
https://scholar.google.com/citations?user=iRJdXNAAAAAJ&hl=en
https://zbmath.org/authors/ai:kiselev.aleksei-p
https://mathscinet.ams.org/mathscinet/MRAuthorID/202945
https://elibrary.ru/author_items.asp?spin=1651-1431
https://orcid.org/0000-0002-4746-5652
https://publons.com/researcher/AAG-9430-2019
https://www.webofscience.com/wos/author/record/AAG-9430-2019
https://www.scopus.com/authid/detail.url?authorId=7202779965
https://www.researchgate.net/profile/https://www.researchgate.net/profile/Aleksei-Kiselev

List of publications:
| scientific publications | by years | by types | by times cited | common list |


Citations (Crossref Cited-By Service + Math-Net.Ru)

   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.  crossref  mathscinet 1
2. E. A. Zlobina, A. P. Kiselev, “Paraxial Diffraction on a Delta Potential”, Russian Journal of Mathematical Physics, 32:3 (2025), 597–613  crossref 1

   2024
3. 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 1
4. 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  mathscinet 6
5. 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  crossref  crossref  mathscinet  zmath
6. 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  crossref 1

   2023
7. A. B. Plachenov, P. Chamorro-Posada, A. P. Kiselev, “Nonparaxial tilted waveobjects”, Journal of Lightwave Technology, 41:7 (2023), 2212 –2224  crossref  adsnasa 3
8. 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  adsnasa  scopus
9. 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  mathscinet  zmath  scopus 4
10. E. A. Zlobina, A. P. Kiselev, “Fresnel-type transition zones”, Journal of Communications Technology and Electronics, 68:6 (2023), 639–648  crossref  crossref  scopus
11. 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
12. 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
13. 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
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  mathnet  crossref  mathscinet

   2021
15. 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
16. A. P. Kiselev, T. A. Suslina, “Preface”, Algebra i Analiz, 33:2 (2021), 3–4  mathnet
17. 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
18. 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 4
19. 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 16
20. 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 12
21. 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
22. 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
23. 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
24. 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 1
25. 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 3
26. 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
27. 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
28. J. Math. Sci. (N. Y.), 243:5 (2019), 682–688  mathnet  crossref  mathscinet  scopus

   2018
29. 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
30. 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
31. 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 4
32. 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 1

   2016
33. 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  crossref  adsnasa

   2017
34. 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
35. 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
36. 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
37. 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
38. 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
39. 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
40. Babich V. M., Kiselev A. P., Elastic Waves: High Frequency Theory, CRC Press, Taylor & Chapman, Boca Raton – London – New York, 2018  mathscinet  zmath

   2012
41. 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 27
42. 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
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.  crossref  mathscinet  zmath  scopus 17
44. 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

   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  crossref  mathscinet  zmath  adsnasa  scopus 27

   2011
46. 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

   2009
47. 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
48. 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
49. 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 23
50. D. F. Parker, A. P. Kiselev, “Rayleigh waves having generalized lateral dependence”, Quart. J. Mech. Appl. Math., 62:1 (2008), 19–29  crossref  scopus 16
51. 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
52. A. P. Kiselev, “Plane waves with a transverse structure in an arbitrarily anisotropic elastic medium”, Doklady Physics, 53:1 (2008), 48–50  mathnet  crossref  mathscinet  zmath  adsnasa

   2007
53. A. P. Kiselev, E. Ducasse, M. Deschamps, A. Darinskii, “Novel exact surface wave solutions for layered structures”, Comptes Rendus Mecanique, 335:8 (2007), 419–422  crossref  zmath  adsnasa  elib  scopus 4
54. A. P. Kiselev, “Localized light waves: Paraxial and exact solutions of the wave equation (a review)”, Optics and Spectroscopy, 102:4 (2007), 603–622  crossref  adsnasa  scopus

   2006
55. A. P. Kiselev, “Relatively undistorted cylindrical waves depending on three spatial variables”, Math. Notes, 79:4 (2006), 587–588  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib  scopus

   2007
56. J. Math. Sci. (N. Y.), 142:6 (2007), 2571–2575  mathnet  crossref  mathscinet  zmath  scopus

   2006
57. E. Bécache, A. P. Kiselev, “Non-stationary elastic wavefields from an apodized normal transducer. Near-field asymptotics and numerics”, Acta Acustica united with Acustica, 91:5 (2006), 822–830

   2004
58. A. P. Kiselev, “Rayleigh wave with a transverse structure”, Proc. Roy. Soc. London, Ser. A, 460:2050 (2004), 3059-3064  crossref  zmath  adsnasa  scopus 16
59. A. P. Kiselev, “New Structures in Paraxial Gaussian Beams”, Optics and Spectroscopy, 96:4 (2004), 479–481  crossref  adsnasa  scopus
60. V. M. Babich, A. P. Kiselev, “"Nongeometrical phenomena in propagation of elastic surface waves”, Surface Waves in Anisotropic and Laminated Bodies and Defects Detection, eds. R. V. Goldstein, G. A. Maugin, Kluver, 2004, 119–129  crossref  mathscinet  zmath 2
61. A. V. Volyar, A. P. Kiselev, Yu. A. Egorov, “Eigen-Polarization Beams in Uniaxial Crystals”, Advanced Optoelectronics and Lasers, Proceedings of SPIE, 5582, 2004, 98–105  crossref  adsnasa 1

   2005
62. A. P. Kiselev, V. O. Yarovoy, E. A. Vsemirnova, “Polarization anomalies of elastic waves. Caustic and penumbra”, J. Math. Sci. (N. Y.), 127:6 (2005), 2413–2423  mathnet  crossref  mathscinet  zmath  scopus

   2003
63. A. P. Kiselev, “Generalization of Bateman–Hillion progressive wave and Bessel–Gauss pulses solutions of the wave equation via a separation of variables”, Journal of Physics A: Mathematical and General, 36:23 (2003), L345–L349  crossref  zmath  adsnasa  scopus 28
64. A. P. Kiselev, “A new attenuation factor for the Bateman nondispersive wave solution”, Journal of Electromagnetic Waves and Applications, 17:1 (2003), 115–120  crossref  mathscinet  scopus 2

   2002
65. A. P. Kiselev, M. V. Perel', “Relatively Distortion-Free Waves for the $m$-Dimensional Wave Equation”, Differ. Equ., 38:8 (2002), 1206–1207  mathnet  crossref  mathscinet  zmath  scopus
66. V. S. Buldyrev, A. M. Vershik, I. A. Ibragimov, A. M. Il'in, A. P. Kiselev, L. D. Faddeev, “Vasilii Mikhailovich Babich (on his 70th birthday)”, Russian Math. Surveys, 57:3 (2002), 627–635  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi

   2003
67. A. P. Kiselev, “Relatively undistorted waves. New examples”, J. Math. Sci. (N. Y.), 117:2 (2003), 3945–3946  mathnet  crossref  mathscinet  zmath
68. A. P. Kiselev, V. P. Smyshlyaev, “The 70th birthday of V. M. Babich”, J. Math. Sci. (N. Y.), 117:2 (2003), 3891–3894  mathnet  crossref  mathscinet  zmath

   2001
69. Z. M. Rogoff, A. P Kiselev, “Diffraction at jump of curvature on an impedance boundary”, Wave Motion, 33:2 (2001), 225–243  crossref  scopus 19
70. V. M. Babich, A. P. Kiselev, J. M. H. Lawry, A. S. Starkov, “A ray description of all wavefields generated by a high–frequency point source near an interface”, SIAM Journal on Applied Mathematics, 62:1 (2001), 21–40  crossref  mathscinet  zmath  scopus 9
71. A. P. Kiselev, “Body waves in a weakly anisotropic medium. – II. S wave from a centre of expansion and P wave from a centre of rotation”, Geophys. J. Intern., 145:3 (2001), 714–720  crossref  adsnasa  scopus 2
72. I. V. Lindell, A. P. Kiselev, “Polyadic methods in elastodynamics”, Progress in Electromagnetics Research, 31 (2001), 113–154  crossref  scopus

   2003
73. A. P. Kiselev, A. A. Klimova, “Plane shear wave emitted into elastic half space by an oscillating nonuniform normal pressure”, J. Math. Sci. (N. Y.), 117:2 (2003), 3947  mathnet  crossref  mathscinet  zmath

   2002
74. M. V. Perel', I. V. Fialkovskii, A. P. Kiselev, “Resonance interaction of bending and shear modes in a non-uniform Timoshenko beam”, J. Math. Sci. (New York), 111:5 (2002), 3775–3790  mathnet  crossref  mathscinet  zmath  scopus
75. A. P. Kiselev, A. S. Starkov, “Parabolic equation and Pearcey-type integral for a transmitted wavefield”, J. Math. Sci. (New York), 111:4 (2002), 3702–3707  mathnet  crossref  mathscinet  zmath  scopus

   2000
76. A. P. Kiselev, M. V. Perel, “Highly localized solutions of the wave equation”, Journal of Mathematical Physics, 41:4 (2000), 1934–1955  crossref  mathscinet  zmath  adsnasa  scopus 71
77. V. V. Borisov, A. P. Kiselev, “A new class of relatively undistorted progressing waves”, Appl. Math. Lett., 13:4 (2000), 83–86  crossref  mathscinet  zmath  scopus 15

   2002
78. A. P. Kiselev, A. A. Klimova, “Plane shear wave emitted into elastic half space by an oscillating nonuniform normal pressure”, J. Math. Sci. (New York), 108:5 (2002), 703–709  mathnet  crossref  mathscinet  zmath  scopus

   1999
79. A. P. Kiselev, “Nondispersive edge modes”, Wave Motion, 28:2 (1999), 111–117  crossref  scopus 9
80. A. P. Kiselev, M. V. Perel, “Gaussian wave packets”, Optics and Spectroscopy, 86:3 (1999), 307–309  adsnasa

   1998
81. A. P Kiselev, Z. M. Rogoff, “Dilatation of S–waves in smoothly inhomogeneous isotropic elastic media”, J. Acoust. Soc. Amer., 104:5 (1998), 2595–2595  crossref  adsnasa  scopus 1
82. L. Ju. Fradkin, A. P. Kiselev, E. Krylova, “The radiating near–field asymptotics of a normal time–harmonic circular ultrasonic transducer in an elastic half–space”, J. Acoust. Soc. Amer., 104:3 (1998), 1178–1187  crossref  adsnasa  scopus 12
83. A. P. Kiselev, M. V. Perel, “Asymptotic theory of local degeneration of Love and Rayleigh modes”, Spectral and Evolutionary Problems, Proceedings of the 8th Crimean Autumn Mathematical School-Symposium (Sevastopol, September 18–29, 1997), Tavria, Simferopol, 1998, 142–146
84. L. Fradkin, A. Kiselev, D. Gridin, E. Krylova, “Radiating near-field of a compressional circular ultrasonic transducer”, Non-Destructive Testing. An Eastern – Western European Perspective, eds. B. Bridge, A. Khalid, B. Yochev, British Institute of Nondestructive Testing, 1998, 129–152

   1999
85. A. P. Kiselev, M. V. Perel', “On the nature of “quasiphotons””, J. Math. Sci. (New York), 96:4 (1999), 3355–3358  mathnet  crossref  mathscinet  zmath  scopus
86. A. V. Aref'ev, A. P. Kiselev, “Viscoelastic Love waves in a layered structure with a weak lateral inhomogeneity”, J. Math. Sci. (New York), 96:4 (1999), 3289–3291  mathnet  crossref  mathscinet  zmath  scopus

   1997
87. L. Ju. Fradkin, A. P. Kiselev, “The two–component representations of time-harmonic elastic body waves at high– and intermediate-frequency regimes”, J. Acoust. Soc. Amer., 101:1 (1997), 52–65  crossref  adsnasa  scopus 15
88. A. P. Kiselev, V. A. Lazarev, “Bouncing of the load and radiation of sound in dry friction”, Tech. Phys., 42:5 (1997), 581–583  crossref  mathscinet  scopus
89. A. P. Kiselev, E. Krylova, L. Yu. Fradkin, “Excitation of a quasi-plane shear wave by a surface acoustic source producing normal stresses”, Sov. Tech. Phys. Lett., 23:12 (1997), 941–942  crossref  scopus

   1998
90. A. V. Aref'ev, A. P. Kiselev, “Viscoelastic Rayleigh waves in a layered structure with a weak lateral inhomogeneity”, J. Math. Sci. (New York), 91:2 (1998), 2701–2705  mathnet  crossref  mathscinet  zmath  scopus

   1995
91. A. P. Kiselev, V. O. Yarovoy, “Diffraction, interference and depolarization of elastic waves: I. Polarization anomalies near a low-contrast interface”, Phys. Solid Earth, 30:11 (1995), 960–966

   1994
92. A. P. Kiselev, “Body waves in a weakly anisotropic medium. – I. Plane waves”, Geophys. J. Intern., 118:2 (1994), 393–400  crossref  adsnasa  scopus 6

   1993
93. A. P. Kiselev, “Ray theory of modulated body waves in inhomogeneous viscoelastic media”, Pure and Applied Geophysics, 140:4 (1993), 629–640  crossref  adsnasa 2

   1992
94. A. P. Kiselev, “Higher-order terms of the ray theory and “non-geometrical phenomena” in inhomogeneous viscoelastic media”, Phys. Solid Earth, 28:11 (1992), 946–948

   1991
95. A. P. Kiselev, Yu. V. Roslov, “Use of additional components for numerical modelling of polarization anomalies of elastic body waves”, Sov. Geol. Geophys., 32:4 (1991), 105–114

   1995
96. N. Ya. Kirpichnikova, A. P. Kiselev, “On anomalous polarization of Love and Rayleigh elastic surface waves in a layered structure”, J. Math. Sci., 73:3 (1995), 383–384  mathnet  crossref  mathscinet  zmath  scopus

   1990
97. N. Ya. Kirpichnikova, A. P. Kiselev, “Depolarization of elastic waves in a vertically inhomogeneous half-space”, Soviet Physics – Acoustics, 36:1 (1990), 96–97  mathscinet

   1989
98. A. P. Kiselev, I. D. Tsvankin, “On the comparison of numerical and asymptotic methods for computation of elastic wave fields”, Dokl. Akad. Nauk SSSR, 304:1 (1989), 61–65  mathnet
99. V. M. Babich, A. P. Kiselev, “Non-geometrical waves – are there any? An asymptotic description of some "nongeometrical phenomena in seismic wave propagation”, Geophys. J. Intern., 99:2 (1989), 415–420  crossref  scopus 14
100. A. P. Kiselev, I. D. Tsvankin, “A method of comparison of exact and asymptotic wave field computations”, Geophys. J. Intern., 96:2 (1989), 253 – 258  crossref  adsnasa  scopus 14
101. A. P. Kiselev, Yu. V. Roslov, “Chislennoe modelirovanie polyarizatsii ob'emnykh uprugikh voln s ispolzovaniem primecnykh komponent”, Vestnik LGU. Fizika. Khimiya, 1989, no. 4, 105–108

   1988
102. A. P. Kiselev, “Point sources of vibration in a weakly anisotropic elastic medium”, Sov. Phys. – Dokl., 33:6 (1988), 466–467  mathnet  zmath
103. V. M. Babich, A. P. Kiselev, “Ray description of the "nongeometrical $S$* wave”, Izv. Acad. Sci. USSR. Phys. Solid Earth, 24:10 (1988), 817–820

   1987
104. A. P. Kiselev, “The influence of the elastic medium inhomogeneity on the excitation of shear waves by a cylindrical emitter”, Dokl. Akad. Nauk SSSR, 293:2 (1987), 330–332  mathnet
105. N. Ya. Kirpichnikova, A. P. Kiselev, “Polarization spectral anomalies of surface waves in an almost layered elastic half-space”, Mathematical problems in the theory of wave propagation. Part 17, Zap. Nauchn. Sem. LOMI, 165, “Nauka”, Leningrad. Otdel., Leningrad, 1987, 102–114  mathnet  zmath
106. A. P. Kiselev, “Depolarization in diffraction”, Sov. Phys. Tech. Phys., 32:6 (1987), 695–696  mathnet

   1986
107. V. E. Grikurov, A. P. Kiselev, “Gaussian beams at large distances”, Radiophysics and Quantum Electronics, 29:3 (1986), 233–238  crossref  scopus
108. A. V. Gavrilov, A. P. Kiselev“. Influence of media inhomogeneity and the source pattern on the polarization of elastic $P$-waves”, Izv. Acad. Sci. USSR. Phys. Solid Earth, 22 (1986), 494–496
109. A. P. Kiselev, “Effect of inhomogeneity of the medium on the directivity of the simplest sources of elastic waves”, J. Soviet Math., 32:2 (1986), 154–162  mathnet  crossref  mathscinet  zmath  scopus

   1984
110. A. P. Kiselev, “Propagation of Gaussian beams along the edge of the wedge”, Sov. Tech. Phys. Lett., 10:11 (1984), 581–582  mathnet  isi
111. A. P. Kiselev, “Slender cylindric emitter in an inhomogeneous elastic medium”, Sov. Phys. – Tech. Phys., 29:2 (1984), 209–215  mathnet  isi

   1983
112. A. P. Kiselev, “Energeticheskii balans tochechnykh istochnikov uprugikh voln v plavno-neodnorodnoi srede”, ZhTF, 53:2 (1983), 224–229  mathnet  mathnet  mathscinet  isi
113. A. P. Kiselev, “Modulated Gaussian beams”, Radiophys. Quantum Electron., 26:5 (1983), 755–761  crossref  scopus

   1982
114. A. P. Kiselev, “Small spherical emitter in an inhomogeneous elastic medium”, Mech. Solids, 17:4 (1982), 106–114
115. A. P. Kiselev, “Excitation of modulated waves in inhomogenious media”, J. Soviet Math., 20:1 (1982), 1818–1825  mathnet  crossref  mathscinet  zmath  scopus

   1981
116. A. P. Kiselev, “Edge waves”, Sov. Tech. Phys. Lett., 7:3 (1981), 119–120  mathscinet  adsnasa

   1982
117. A. P. Kiselev, “High-frequency point sources in an inhomogeneous elastic medium”, J. Soviet Math., 20:5 (1982), 2407–2418  mathnet  crossref  mathscinet  zmath  scopus

   1980
118. A. P. Kiselev, “Focal boundary layer in axisymmetrical diffraction problems”, Radiophysics and Quantum Electronics, 23:3 (1980), 241–252  crossref  mathscinet  scopus

   1982
119. A. P. Kiselev, “Elastic energy flow”, J. Soviet Math., 19:4 (1982), 1372–1375  mathnet  crossref  mathscinet  scopus

   1977
120. A. P. Kiselev, “Diffraction by a wedge with a circular cap”, Journal of Applied Mathematics and Mechanics (PMM), 41:5 (1977), 981–984  crossref  mathscinet  adsnasa  adsnasa  scopus

   1979
121. A. P. Kiselev, “Electromagnetic field in a neighborhood of a focus”, J. Soviet Math., 11:5 (1979), 744–752  mathnet  crossref  mathscinet  zmath  scopus

   1976
122. P. F. Parshin, V. M. Arkhipov, A. A. Bytsenko, A. P. Kiselev, “Interference modulation by periodic variation of the path difference relative to the zero value”, Journal of Applied Spectroscopy, 24:5 (1976), 878–885  crossref

   1977
123. P. F. Parshin, V. M. Arkhipov, A. A. Bytsenko, A. P. Kiselev,, “Sinusoidal interference modulation in Fourier spectrometers and SISAM's and methods of controlling the path difference”, Journal of Applied Spectroscopy, 1977, 1597–1601  crossref  adsnasa

   1976
124. P. F. Parshin, V. M. Arkhipov, A. A. Bytsenko, A. P. Kiselev, “Interference modulation when the center line in an interferogram is displaced”, Journal of Applied Spectroscopy, 25 (1976), 902–905  crossref  adsnasa
125. A. P. Kiselev, Dokl. Akad. Nauk SSSR, 226:3 (1976), 496  mathnet

   1975
126. A. P. Kiselev, “O nachalnykh dannykh dlya luchevykh formul, opisyvayuschikh polya tochechnykh istochnikov v neodnorodnykh uprugikh sredakh”, Voprosy dinamicheskoi teorii rasprostraneniya seismicheskikh voln, 15, eds. G. I. Petrashen, Leningrad, Nauka, 1975, 6–27
127. A. P. Kiselev, “Focusing of the WKB-solutions of the equation $[\Delta+k^2n^2(x)]u=0$, $k\to\infty$”, Mathematical problems in the theory of wave propagation. Part 7, Zap. Nauchn. Sem. LOMI, 51, “Nauka”, Leningrad. Otdel., Leningrad, 1975, 123–128  mathnet  mathscinet  zmath

   1974
128. A. P. Kiselev, “High-frequency point sources in inhomogeneous isotropic elastic medium”, Sov. Phys. Doklady, 19:3 (1974), 855–856  mathnet  mathscinet  zmath

   1975
129. A. P. Kiselev, “High-frequency source between the branches of hyperbola”, Journal of Soviet Mathematics, 3, Spinger, 1975, 62–81  mathnet  mathscinet  zmath

Presentations in Math-Net.Ru
1. Diffraction of short waves on contours with non-smooth curvature
E. A. Zlobina, A. P. Kiselev
V. I. Smirnov Seminar on Mathematical Physics
April 24, 2023 15:00

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