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Mathematics of the USSR-Izvestiya, 1992, Volume 38, Issue 3, Pages 439–454
DOI: https://doi.org/10.1070/IM1992v038n03ABEH002209 (Mi im995) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Breaking solitons. V. Systems of hydrodynamic type

O. I. Bogoyavlenskii
English version PDF (692 kB) Citations (5) Russian version article
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DOI: https://doi.org/10.1070/IM1992v038n03ABEH002209
Abstract: A method for constructing the systems of hydrodynamic type having a number of Riemann invariants is indicated. The method is based on a new differential equation in a space of linear operators. The systems of hydrodynamic type naturally connected with the Volterra model and the Toda lattice are constructed. Their continuous limits are found, the equation (see [1] and [2]) of interaction between Riemann breaking waves and transversal long waves is among them. The equations for self-similar solutions of homogeneous systems of hydrodynamic type are derived.
Received: 26.02.1991
Bibliographic databases:
Document Type: Article
UDC: 517.91
MSC: 35Q51, 76B25
Language: English
Original paper language: Russian
Citation: O. I. Bogoyavlenskii, “Breaking solitons. V. Systems of hydrodynamic type”, Math. USSR-Izv., 38:3 (1992), 439–454
Citation in format AMSBIB
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\by O.~I.~Bogoyavlenskii
\paper Breaking solitons. V.~Systems of hydrodynamic type
\jour Math. USSR-Izv.
\yr 1992
\vol 38
\issue 3
\pages 439--454
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\crossref{https://doi.org/10.1070/IM1992v038n03ABEH002209}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1129821}
\zmath{https://zbmath.org/?q=an:0789.35140}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?1992IzMat..38..439B}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1992JE94100001}
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  • https://www.mathnet.ru/eng/im/v55/i3/p451
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    This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
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    Abstract page:443
    Russian version PDF:130
    English version PDF:15
    References:51
    First page:2
     
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