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Teoreticheskaya i Matematicheskaya Fizika, 1991, Volume 86, Number 3, Pages 474–478 (Mi tmf5463)  
This article is cited in 2 scientific papers (total in 3 papers)

Cauchy problem for waves on shallow water

R. F. Bikbaev
Full-text PDF (546 kB) Citations (3)
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Abstract: A classical one-dimensional model of shallow water in the class of continuously differentiable functions is considered. A criterion is obtained for the existence of a solution to the Cauchy problem that is global in time. For the special class of step-type initial data, the asymptotic behavior of the solution as $t\to+\infty$ is calculated.
Received: 29.11.1989
English version:
Theoretical and Mathematical Physics, 1991, Volume 86, Issue 3, Pages 327–330
DOI: https://doi.org/10.1007/BF01028432
Bibliographic databases:
Language: Russian
Citation: R. F. Bikbaev, “Cauchy problem for waves on shallow water”, TMF, 86:3 (1991), 474–478; Theoret. and Math. Phys., 86:3 (1991), 327–330
Citation in format AMSBIB
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\by R.~F.~Bikbaev
\paper Cauchy problem for waves on shallow water
\jour TMF
\yr 1991
\vol 86
\issue 3
\pages 474--478
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1107944}
\zmath{https://zbmath.org/?q=an:0729.76015|0719.76015}
\transl
\jour Theoret. and Math. Phys.
\yr 1991
\vol 86
\issue 3
\pages 327--330
\crossref{https://doi.org/10.1007/BF01028432}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1991GJ55400016}
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  • https://www.mathnet.ru/eng/tmf/v86/i3/p474
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    Full-text PDF :113
    References:49
    First page:1
     
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