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Zapiski Nauchnykh Seminarov POMI, 2006, Volume 332, Pages 7–18 (Mi znsl258)  
This article is cited in 2 scientific papers (total in 3 papers)

On quasiphotons of Rayleigh waves (anisotropic elastic body case)

V. M. Babicha, A. V. Poskryakovb

a St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
b Saint-Petersburg State University
Full-text PDF (188 kB) Citations (3)
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Abstract: The construction procedure of quasiphotons analytic formulas is developed. Quasiphotons are special asymptotic solutions of linear equations, that describes wave processes. These asymptotic solutions correspond to concentrated wave packets propagating along rays on a surface of elastic body.
Received: 15.04.2006
English version:
Journal of Mathematical Sciences (New York), 2007, Volume 142, Issue 6, Pages 2521–2527
DOI: https://doi.org/10.1007/s10958-007-0139-9
Bibliographic databases:
UDC: 517
Language: Russian
Citation: V. M. Babich, A. V. Poskryakov, “On quasiphotons of Rayleigh waves (anisotropic elastic body case)”, Mathematical problems in the theory of wave propagation. Part 35, Zap. Nauchn. Sem. POMI, 332, POMI, St. Petersburg, 2006, 7–18; J. Math. Sci. (N. Y.), 142:6 (2007), 2521–2527
Citation in format AMSBIB
\Bibitem{BabPos06}
\by V.~M.~Babich, A.~V.~Poskryakov
\paper On quasiphotons of Rayleigh waves (anisotropic elastic body case)
\inbook Mathematical problems in the theory of wave propagation. Part~35
\serial Zap. Nauchn. Sem. POMI
\yr 2006
\vol 332
\pages 7--18
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl258}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2252983}
\zmath{https://zbmath.org/?q=an:1189.74064}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2007
\vol 142
\issue 6
\pages 2521--2527
\crossref{https://doi.org/10.1007/s10958-007-0139-9}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-34247202630}
Linking options:
  • https://www.mathnet.ru/eng/znsl258
  • https://www.mathnet.ru/eng/znsl/v332/p7
    • This publication is cited in the following 3 articles:
    1. 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
    2. V. M. Babich, A. I. Popov, “Quasiphotons of waves on the surface of the heavy liquid”, J. Math. Sci. (N. Y.), 173:3 (2011), 243–253  mathnet  crossref
    3. Chernyshev V.L., Shafarevich A.I., “Semiclassical asymptotics and statistical properties of Gaussian packets for the nonstationary Schrödinger equation on a geometric graph”, Russ. J. Math. Phys., 15:1 (2008), 25–34  crossref  mathscinet  zmath  adsnasa  isi  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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