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Russian Academy of Sciences. Sbornik. Mathematics, 1995, Volume 82, Issue 2, Pages 461–470
DOI: https://doi.org/10.1070/SM1995v082n02ABEH003575 (Mi sm920) 		 
This article is cited in 37 scientific papers (total in 37 papers)

Elliptic solutions of the nonlinear Schrödinger equation and the modified Korteweg–de Vries equation

A. O. Smirnov

St. Petersburg State Academy of Aerospace Equipment Construction
English version PDF (514 kB) Citations (37) Russian version article
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DOI: https://doi.org/10.1070/SM1995v082n02ABEH003575
Abstract: Two Ansätze concerning Krichever curves are considered for solutions elliptic in $x$ of the nonlinear Schrödinger equation and the Korteweg–de Vries equation. An example is given of a new two-gap elliptic solution of the nonlinear Schrödinger equation.
Received: 28.09.1993
Bibliographic databases:
UDC: 517.95
MSC: Primary 58F07, 14K25; Secondary 35Q53
Language: English
Original paper language: Russian
Citation: A. O. Smirnov, “Elliptic solutions of the nonlinear Schrödinger equation and the modified Korteweg–de Vries equation”, Russian Acad. Sci. Sb. Math., 82:2 (1995), 461–470
Citation in format AMSBIB
\Bibitem{Smi94}
\by A.~O.~Smirnov
\paper Elliptic solutions of the~nonlinear Schr\"odinger equation and the~modified Korteweg--de Vries equation
\jour Russian Acad. Sci. Sb. Math.
\yr 1995
\vol 82
\issue 2
\pages 461--470
\mathnet{http://mi.mathnet.ru//eng/sm920}
\crossref{https://doi.org/10.1070/SM1995v082n02ABEH003575}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1302625}
\zmath{https://zbmath.org/?q=an:0854.35110}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1995RV83000013}
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    • This publication is cited in the following 37 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник - 1992–2005 Sbornik: Mathematics
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    Abstract page:642
    Russian version PDF:266
    English version PDF:31
    References:83
    First page:2
     
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