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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)
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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
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1983, Volume 122(164), Number 2(10), Pages 197–219
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”, Mat. Sb. (N.S.), 122(164):2(10) (1983), 197–219; 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 Mat. Sb. (N.S.)
\yr 1983
\vol 122(164)
\issue 2(10)
\pages 197--219
\mathnet{http://mi.mathnet.ru/sm2285}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=717675}
\zmath{https://zbmath.org/?q=an:0567.35078}
\transl
\jour Math. USSR-Sb.
\yr 1985
\vol 50
\issue 1
\pages 191--212
\crossref{https://doi.org/10.1070/SM1985v050n01ABEH002741}
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  • https://doi.org/10.1070/SM1985v050n01ABEH002741
  • 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
    Related articles in Google Scholar: Russian articles, English articles
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    Statistics & downloads:
    Abstract page:475
    Russian version PDF:155
    English version PDF:14
    References:106
    First page:4
     
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