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Zapiski Nauchnykh Seminarov POMI, 2000, Volume 264, Pages 299–310 (Mi znsl1183)  
This article is cited in 2 scientific papers (total in 2 papers)

Propagation of the discontinueties in a system of two interactive wave equations

M. M. Popov, I. N. Shchitov

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Full-text PDF (188 kB) Citations (2)
Abstract: Propagation of the discontinueties in a system of two wave equations interacting via a potential is described in the case when the velocities coincide at a point. It is shown that a new wave appears behind this point and discontinueties on its wave front contain noninteger derivatives.
Received: 27.12.1999
English version:
Journal of Mathematical Sciences (New York), 2002, Volume 111, Issue 5, Pages 3799–3805
DOI: https://doi.org/10.1023/A:1016358631118
Bibliographic databases:
UDC: 517.934
Language: Russian
Citation: M. M. Popov, I. N. Shchitov, “Propagation of the discontinueties in a system of two interactive wave equations”, Mathematical problems in the theory of wave propagation. Part 29, Zap. Nauchn. Sem. POMI, 264, POMI, St. Petersburg, 2000, 299–310; J. Math. Sci. (New York), 111:5 (2002), 3799–3805
Citation in format AMSBIB
\Bibitem{PopShc00}
\by M.~M.~Popov, I.~N.~Shchitov
\paper Propagation of the discontinueties in a system of two interactive wave equations
\inbook Mathematical problems in the theory of wave propagation. Part~29
\serial Zap. Nauchn. Sem. POMI
\yr 2000
\vol 264
\pages 299--310
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1183}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1796421}
\zmath{https://zbmath.org/?q=an:1028.74031}
\transl
\jour J. Math. Sci. (New York)
\yr 2002
\vol 111
\issue 5
\pages 3799--3805
\crossref{https://doi.org/10.1023/A:1016358631118}
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  • https://www.mathnet.ru/eng/znsl/v264/p299
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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