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Teoreticheskaya i Matematicheskaya Fizika, 1985, Volume 63, Number 3, Pages 333–339 (Mi tmf4837)  
This article is cited in 2 scientific papers (total in 2 papers)

Solitons of the Korteweg-de Vries equation on the background of a known solution

A. V. Rybin, M. A. Sall'
Full-text PDF (602 kB) Citations (2)
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Abstract: Asymptotic expressions describing the propagation of solitons on the background of an arbitrary solution are obtained. A study is made of the problem of finding the phase shifts of such solitons when they interact in pairs and also when a soliton interacts with a solution that decreases with respect to $x$.
Received: 23.04.1984
English version:
Theoretical and Mathematical Physics, 1985, Volume 63, Issue 3, Pages 545–550
DOI: https://doi.org/10.1007/BF01017499
Bibliographic databases:
Language: Russian
Citation: A. V. Rybin, M. A. Sall', “Solitons of the Korteweg-de Vries equation on the background of a known solution”, TMF, 63:3 (1985), 333–339; Theoret. and Math. Phys., 63:3 (1985), 545–550
Citation in format AMSBIB
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\by A.~V.~Rybin, M.~A.~Sall'
\paper Solitons of the Korteweg-de~Vries equation on the background of a~known solution
\jour TMF
\yr 1985
\vol 63
\issue 3
\pages 333--339
\mathnet{http://mi.mathnet.ru/tmf4837}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=805515}
\zmath{https://zbmath.org/?q=an:0591.35073}
\transl
\jour Theoret. and Math. Phys.
\yr 1985
\vol 63
\issue 3
\pages 545--550
\crossref{https://doi.org/10.1007/BF01017499}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1985AWZ6400002}
Linking options:
  • https://www.mathnet.ru/eng/tmf4837
  • https://www.mathnet.ru/eng/tmf/v63/i3/p333
    • This publication is cited in the following 2 articles:
    1. Vladimir B. Matveev, Mikhail A. Salle, Springer Series in Nonlinear Dynamics, Darboux Transformations and Solitons, 1991, 29  crossref
    2. A. R. Its, A. V. Rybin, M. A. Sall', “Exact integration of nonlinear Schrödinger equation”, Theoret. and Math. Phys., 74:1 (1988), 20–32  mathnet  crossref  mathscinet  zmath  isi
    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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    Abstract page:571
    Full-text PDF :369
    References:77
    First page:2
     
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