| Full list of publications: |
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Citations (Crossref Cited-By Service + Math-Net.Ru) |
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 2023 |
| 1. |
A. B. Plachenov, P. Chamorro-Posada, A. P. Kiselev, “Nonparaxial tilted waveobjects”, Journal of Lightwave Technology, 41:7 (2023), 2212 –2224 
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| 2. |
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  |
| 3. |
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
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| 4. |
E. A. Zlobina, A. P. Kiselev, “Fresnel-type transition zones”, Journal of Communications Technology and Electronics, 68:6 (2023), 639–648 |
| 5. |
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  |
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| 2022 |
| 6. |
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  |
| 7. |
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  |
| 8. |
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 |
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| 2020 |
| 9. |
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.  
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4
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| 10. |
I. A. So, A. B. Plachenov, A. P. Kiselev, “Simple unidirectional finite-energy pulses”, Physical Review A, 102:6 (2020), 063529 , 6 pp.
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| 11. |
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.
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12
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| 12. |
I. A. So, A. B. Plachenov, A. P. Kiselev, “Unidirectional single-cycle and sub-cycle pulses”, Optics and Spectroscopy, 128:12 (2020), 2000-2001  |
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| 2019 |
| 13. |
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 |
| 14. |
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 |
| 15. |
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.
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1
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| 16. |
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.
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3
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| 17. |
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 |
| 18. |
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 |
| 19. |
J. Math. Sci. (N. Y.), 243:5 (2019), 682–688 |
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| 2018 |
| 20. |
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 |
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| 2017 |
| 21. |
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 |
| 22. |
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
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2
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| 23. |
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
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1
[x]
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| 24. |
A. P. Kiselev, “General surface waves in layered anisotropic elastic structures”, J. Math. Sci. (N. Y.), 224:1 (2017), 90–93 |
| 25. |
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 |
| 26. |
A. M. Tagirdzhanov, A. P. Kiselev, “Complexified Spherical Waves and Their Sources. A Review”, Optics and Spectroscopy, 119:2 (2015), 257–267 |
| 27. |
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 |
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| 2016 |
| 28. |
A. M. Tagirdzhanov, A. P. Kiselev, “Gaussian wave packet based on the “complex source””, J. Math. Sci. (N. Y.), 214:3 (2016), 372–381 |
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| 2015 |
| 29. |
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 |
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| 2018 |
| 30. |
Babich V. M., Kiselev A. P., Elastic Waves: High Frequency Theory, CRC Press, Taylor & Chapman, Boca Raton – London – New York, 2018 |
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| 2012 |
| 31. |
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.
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23
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| 32. |
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 |
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| 2011 |
| 33. |
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.
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| 2010 |
| 34. |
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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24
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| 2009 |
| 35. |
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 |
| 36. |
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 |
| 37. |
A. L. Shuvalov, O. Poncelet, A. P. Kiselev, “Shear horizontal waves in transversely inhomogeneous plates”, Wave Motion, 45:5 (2008), 605–615
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21
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| 38. |
D. F. Parker, A. P. Kiselev, “Rayleigh waves having generalized lateral dependence”, Quart. J. Mech. Appl. Math., 62:1 (2008), 19–29
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15
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| 39. |
A. P. Kiselev, A. M. Tagirdzhanov, “Love Waves with a Transverse Structure”, Vestnik St. Petersburg University. Mathematics, 41:3 (2008), 136–143 |
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| 2007 |
| 40. |
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
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4
[x]
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| 41. |
A. P. Kiselev, “Localized light waves: Paraxial and exact solutions of the wave equation (a review)”, Optics and Spectroscopy, 102:4 (2007), 603–622 |
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| 2006 |
| 42. |
A. P. Kiselev, “Relatively undistorted cylindrical waves depending on three spatial variables”, Math. Notes, 79:4 (2006), 587–588 |
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| 2007 |
| 43. |
J. Math. Sci. (N. Y.), 142:6 (2007), 2571–2575 |
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| 2006 |
| 44. |
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 |
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| 2004 |
| 45. |
A. P. Kiselev, “Rayleigh wave with a transverse structure”, Proc. Roy. Soc. London, Ser. A, 460:2050 (2004), 3059-3064
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16
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| 46. |
A. P. Kiselev, “New Structures in Paraxial Gaussian Beams”, Optics and Spectroscopy, 96:4 (2004), 479–481 |
| 47. |
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
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2
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| 2005 |
| 48. |
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 |
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| 2003 |
| 49. |
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
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28
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| 50. |
A. P. Kiselev, “A new attenuation factor for the Bateman nondispersive wave solution”, Journal of Electromagnetic Waves and Applications, 17:1 (2003), 115–120
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2
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| 2002 |
| 51. |
A. P. Kiselev, M. V. Perel', “Relatively Distortion-Free Waves for the $m$-Dimensional Wave Equation”, Differ. Equ., 38:8 (2002), 1206–1207 |
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| 2003 |
| 52. |
A. P. Kiselev, “Relatively undistorted waves. New examples”, J. Math. Sci. (N. Y.), 117:2 (2003), 3945–3946 |
| 53. |
A. P. Kiselev, V. P. Smyshlyaev, “The 70th birthday of V. M. Babich”, J. Math. Sci. (N. Y.), 117:2 (2003), 3891–3894 |
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| 2001 |
| 54. |
Z. M. Rogoff, A. P Kiselev, “Diffraction at jump of curvature on an impedance boundary”, Wave Motion, 33:2 (2001), 225–243
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19
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| 55. |
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
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9
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| 56. |
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
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2
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| 57. |
I. V. Lindell, A. P. Kiselev, “Polyadic methods in elastodynamics”, Progress in Electromagnetics Research, 31 (2001), 113–154 |
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| 2002 |
| 58. |
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 |
| 59. |
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 |
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| 2000 |
| 60. |
A. P. Kiselev, M. V. Perel, “Highly localized solutions of the wave equation”, Journal of Mathematical Physics, 41:4 (2000), 1934–1955
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68
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| 61. |
V. V. Borisov, A. P. Kiselev, “A new class of relatively undistorted progressing waves”, Appl. Math. Lett., 13:4 (2000), 83–86
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15
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| 2002 |
| 62. |
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 |
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| 1999 |
| 63. |
A. P. Kiselev, “Nondispersive edge modes”, Wave Motion, 28:2 (1999), 111–117
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9
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| 64. |
A. P. Kiselev, M. V. Perel, “Gaussian wave packets”, Optics and Spectroscopy, 86:3 (1999), 307–309 |
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| 1998 |
| 65. |
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
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1
[x]
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| 66. |
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
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11
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| 67. |
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 |
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| 1999 |
| 68. |
A. P. Kiselev, M. V. Perel', “On the nature of “quasiphotons””, J. Math. Sci. (New York), 96:4 (1999), 3355–3358 |
| 69. |
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 |
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| 1997 |
| 70. |
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
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15
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| 71. |
A. P. Kiselev, V. A. Lazarev, “Bouncing of the load and radiation of sound in dry friction”, Tech. Phys., 42:5 (1997), 581–583 |
| 72. |
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 |
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| 1998 |
| 73. |
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 |
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| 1995 |
| 74. |
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 |
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| 1994 |
| 75. |
A. P. Kiselev, “Body waves in a weakly anisotropic medium. – I. Plane waves”, Geophys. J. Intern., 118:2 (1994), 393–400
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6
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| 1993 |
| 76. |
A. P. Kiselev, “Ray theory of modulated body waves in
inhomogeneous viscoelastic media”, Pure and Applied Geophysics, 140:4 (1993), 629–640 |
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| 1992 |
| 77. |
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 |
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| 1991 |
| 78. |
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 |
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| 1995 |
| 79. |
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 |
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| 1990 |
| 80. |
N. Ya. Kirpichnikova, A. P. Kiselev, “Depolarization of elastic waves in a vertically inhomogeneous half-space”, Soviet Physics – Acoustics, 36:1 (1990), 96–97 |
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| 1989 |
| 81. |
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 |
| 82. |
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
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14
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| 83. |
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
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14
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| 1988 |
| 84. |
A. P. Kiselev, “Point sources of vibration in a weakly anisotropic elastic medium”, Sov. Phys. – Dokl., 33:6 (1988), 466–467 |
| 85. |
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 |
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| 1987 |
| 86. |
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 |
| 87. |
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 |
| 88. |
A. P. Kiselev, “Depolarization in diffraction”, Sov. Phys. Tech. Phys., 32:6 (1987), 695–696 |
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| 1986 |
| 89. |
V. E. Grikurov, A. P. Kiselev, “Gaussian beams at large distances”, Radiophysics and Quantum Electronics, 29:3 (1986), 233–238 |
| 90. |
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 |
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| 1984 |
| 91. |
A. P. Kiselev, “Propagation of Gaussian beams along the edge of the wedge”, Sov. Tech. Phys. Lett., 10:11 (1984), 581–582 |
| 92. |
A. P. Kiselev, “Slender cylindric emitter in an inhomogeneous elastic medium”, Sov. Phys. – Tech. Phys., 29:2 (1984), 209–215 |
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| 1983 |
| 93. |
A. P. Kiselev, “Energeticheskii balans tochechnykh istochnikov uprugikh voln v plavno-neodnorodnoi srede”, ZhTF, 53:2 (1983), 224–229 |
| 94. |
A. P. Kiselev, “Modulated Gaussian beams”, Radiophys. Quantum Electron., 26:5 (1983), 755–761 |
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| 1982 |
| 95. |
A. P. Kiselev, “Small spherical emitter in an inhomogeneous elastic medium”, Mech. Solids, 17:4 (1982), 106–114 |
| 96. |
A. P. Kiselev, “Excitation of modulated waves in inhomogenious media”, J. Soviet Math., 20:1 (1982), 1818–1825 |
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| 1981 |
| 97. |
A. P. Kiselev, “Edge waves”, Sov. Tech. Phys. Lett., 7:3 (1981), 119–120 |
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| 1982 |
| 98. |
A. P. Kiselev, “High-frequency point sources in an inhomogeneous elastic medium”, J. Soviet Math., 20:5 (1982), 2407–2418 |
|
| 1980 |
| 99. |
A. P. Kiselev, “Focal boundary layer in axisymmetrical diffraction problems”, Radiophysics and Quantum Electronics, 23:3 (1980), 241–252 |
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| 1982 |
| 100. |
A. P. Kiselev, “Elastic energy flow”, J. Soviet Math., 19:4 (1982), 1372–1375 |
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| 1977 |
| 101. |
A. P. Kiselev, “Diffraction by a wedge with a circular cap”, Journal of Applied Mathematics and Mechanics (PMM), 41:5 (1977), 981–984 |
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| 1979 |
| 102. |
A. P. Kiselev, “Electromagnetic field in a neighborhood of a focus”, J. Soviet Math., 11:5 (1979), 744–752 |
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| 1976 |
| 103. |
P. F. Parshin, V. M. Arkhipov, A. A. Bytsenko, A. P. Kiselev, “Common periodic interference modulation properties in a Fourier spectrometer and a spectrometer with interference selective amplitude modulation”, Applied Spectroscopy, 24:5 (1976), 878–885 |
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| 1975 |
| 104. |
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 |
| 105. |
A. P. Kiselev, “O nachalnykh dannykh dlya luchevykh for- mul, opisyvayuschikh polya tochechnykh istochnikov v neodnorodnykh uprugikh sredakh”, Voprosy dinamicheskoi teorii rasprostraneniya seismicheskikh voln, 15, eds. G. I. Petrashen, L., Nauka, 1975, 6–27 |
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| 1974 |
| 106. |
A. P. Kiselev, “High-frequency point sources in inhomogeneous isotropic elastic medium”, Sov. Phys. Doklady, 19:4 (1974), 855–856 |
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| 1972 |
| 107. |
A. P. Kiselev, “High-frequency source between the branches of hyperbola”, Mathematical problems in the theory of wave propagation. Part 4, Zap. Nauchn. Sem. LOMI, 25, “Nauka”, Leningrad. Otdel., Leningrad, 1972, 79–100 |
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