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Mathematics of the USSR-Sbornik, 1984, Volume 49, Issue 2, Pages 461–489
DOI: https://doi.org/10.1070/SM1984v049n02ABEH002721 (Mi sm2219) 		 
This article is cited in 12 scientific papers (total in 12 papers)

Some new nonlinear evolution equations integrable by the inverse problem method

V. K. Mel'nikov
English version PDF (1110 kB) Citations (12)
References:
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DOI: https://doi.org/10.1070/SM1984v049n02ABEH002721
Abstract: Several new nonlinear evolution equations integrable by the inverse problem method are obtained. The method applied in finding these equations is believed to be essentially new. The comparison of that method with other methods for finding nonlinear evolution equations integrable by the inverse problem method is given. In particular, it is shown that the methods using the Heisenberg equation (the so-called Lax representation) are not suitable to obtain the equations studied here.
Bibliography: 23 titles.
Received: 11.03.1982
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1983, Volume 121(163), Number 4(8), Pages 469–498
Bibliographic databases:
UDC: 517.9
MSC: 35K22, 35K55
Language: English
Original paper language: Russian
Citation: V. K. Mel'nikov, “Some new nonlinear evolution equations integrable by the inverse problem method”, Mat. Sb. (N.S.), 121(163):4(8) (1983), 469–498; Math. USSR-Sb., 49:2 (1984), 461–489
Citation in format AMSBIB
\Bibitem{Mel83}
\by V.~K.~Mel'nikov
\paper Some new nonlinear evolution equations integrable by the inverse problem method
\jour Mat. Sb. (N.S.)
\yr 1983
\vol 121(163)
\issue 4(8)
\pages 469--498
\mathnet{http://mi.mathnet.ru/sm2219}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=716108}
\zmath{https://zbmath.org/?q=an:0558.35063}
\transl
\jour Math. USSR-Sb.
\yr 1984
\vol 49
\issue 2
\pages 461--489
\crossref{https://doi.org/10.1070/SM1984v049n02ABEH002721}
Linking options:
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  • https://doi.org/10.1070/SM1984v049n02ABEH002721
  • https://www.mathnet.ru/eng/sm/v163/i4/p469
    • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics
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    Abstract page:434
    Russian version PDF:169
    English version PDF:9
    References:46
    First page:1
     
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