Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics]
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Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics], 2011, Volume 7, Number 2, Pages 239–256 (Mi nd257)  

This article is cited in 3 scientific papers (total in 3 papers)

Two-gap 3-elliptic solutions of the Boussinesq and the Korteweg–de Vries equations

A. O. Smirnov, G. M. Golovachev, E. G. Amosenok

Saint Petersburg State University of Airspace Instrumentation (SUAI)
References:
Abstract: The behavior of the two-gap elliptic solutions of the Boussinesq and the KdV equations was examined. These solutions were constructed by the $n$-sheet covering over a torus ($n\leqslant3$). It was shown that the shape of the two-gap elliptic solutions depends on $n$ and doesn't depend on the kind of the nonlinear wave equation.
Keywords: soliton, Boussinesq equation, KdV equation, theta-function, reduction, covering.
Received: 28.04.2011
Revised: 23.06.2011
Bibliographic databases:
Document Type: Article
UDC: 517.957
MSC: 35Q53
Language: Russian
Citation: A. O. Smirnov, G. M. Golovachev, E. G. Amosenok, “Two-gap 3-elliptic solutions of the Boussinesq and the Korteweg–de Vries equations”, Nelin. Dinam., 7:2 (2011), 239–256
Citation in format AMSBIB
\Bibitem{SmiGolAmo11}
\by A.~O.~Smirnov, G.~M.~Golovachev, E.~G.~Amosenok
\paper Two-gap 3-elliptic solutions of the Boussinesq and the Korteweg--de~Vries equations
\jour Nelin. Dinam.
\yr 2011
\vol 7
\issue 2
\pages 239--256
\mathnet{http://mi.mathnet.ru/nd257}
\elib{https://elibrary.ru/item.asp?id=16515648}
Linking options:
  • https://www.mathnet.ru/eng/nd257
  • https://www.mathnet.ru/eng/nd/v7/i2/p239
  • 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
    Нелинейная динамика
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