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Mathematics of the USSR-Sbornik, 1985, Volume 50, Issue 1, Pages 191–212
DOI: https://doi.org/10.1070/SM1985v050n01ABEH002741 (Mi sm2285) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Asymptotics of some differential and pseudodifferential equations, and dynamical systems with small dispersion

V. P. Maslov, G. A. Omel'yanov, V. A. Tsupin
English version PDF (1075 kB) Citations (4) Russian version article
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DOI: https://doi.org/10.1070/SM1985v050n01ABEH002741
Abstract: Asymptotic soliton-type solutions of the Whitham and Boussinesq equations and an asymptotic solution of shock-wave type of the Toda lattice with variable coefficients in the case of small dispersion are constructed. The solutions represent a “distorted” solitary wave (a smoothed shock wave) with amplitude and speed of motion which depend on time, propagating on a smooth “background”.
Bibliography: 27 titles.
Received: 23.06.1982
Bibliographic databases:
UDC: 517.9
MSC: Primary 35Q20, 35L67, 35S05, 35B40; Secondary 82A68, 82A45
Language: English
Original paper language: Russian
Citation: V. P. Maslov, G. A. Omel'yanov, V. A. Tsupin, “Asymptotics of some differential and pseudodifferential equations, and dynamical systems with small dispersion”, Math. USSR-Sb., 50:1 (1985), 191–212
Citation in format AMSBIB
\Bibitem{MasOmeTsu83}
\by V.~P.~Maslov, G.~A.~Omel'yanov, V.~A.~Tsupin
\paper Asymptotics of some differential and pseudodifferential equations, and dynamical systems with small dispersion
\jour Math. USSR-Sb.
\yr 1985
\vol 50
\issue 1
\pages 191--212
\mathnet{http://mi.mathnet.ru//eng/sm2285}
\crossref{https://doi.org/10.1070/SM1985v050n01ABEH002741}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=717675}
\zmath{https://zbmath.org/?q=an:0567.35078}
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  • https://www.mathnet.ru/eng/sm/v164/i2/p197
    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Abstract page:486
    Russian version PDF:157
    English version PDF:26
    References:110
    First page:4
     
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