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Zapiski Nauchnykh Seminarov POMI, 1992, Volume 203, Pages 12–16 (Mi znsl5768)  

Case of an exact integrability of $SH$-wave equation

V. M. Babich
Full-text PDF (199 kB) Citations (1)
Abstract: The equation for $SH$-wave is considered
$$ \frac\partial{\partial x}\left(\mu\frac{\partial w}{\partial x}\right)+\frac\partial{\partial y}\left(\mu\frac{\partial w}{\partial y}\right)=\rho\frac{\partial^2w}{\partial t^2}, $$
when $\mu=a(x)b(y)$, $\rho=a(x)b(y)(c(x)+d(y))$ ($a,b,c,d$ are known functions). The problem of interaction of a whispering gallery wave with a vertical interface is solved in explicit form.
English version:
Journal of Mathematical Sciences, 1996, Volume 79, Issue 4, Pages 1166–1168
DOI: https://doi.org/10.1007/BF02362881
Bibliographic databases:
Document Type: Article
UDC: 534.2+539.3
Language: Russian
Citation: V. M. Babich, “Case of an exact integrability of $SH$-wave equation”, Mathematical problems in the theory of wave propagation. Part 22, Zap. Nauchn. Sem. POMI, 203, Nauka, St. Petersburg, 1992, 12–16; J. Math. Sci., 79:4 (1996), 1166–1168
Citation in format AMSBIB
\Bibitem{Bab92}
\by V.~M.~Babich
\paper Case of an exact integrability of $SH$-wave equation
\inbook Mathematical problems in the theory of wave propagation. Part~22
\serial Zap. Nauchn. Sem. POMI
\yr 1992
\vol 203
\pages 12--16
\publ Nauka
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl5768}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1193675}
\zmath{https://zbmath.org/?q=an:0810.35130|0844.35127}
\transl
\jour J. Math. Sci.
\yr 1996
\vol 79
\issue 4
\pages 1166--1168
\crossref{https://doi.org/10.1007/BF02362881}
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  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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