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Teoreticheskaya i Matematicheskaya Fizika, 1988, Volume 74, Number 1, Pages 29–45 (Mi tmf4166)  
This article is cited in 65 scientific papers (total in 65 papers)

Exact integration of nonlinear Schrödinger equation

A. R. Its, A. V. Rybin, M. A. Sall'
Full-text PDF (1396 kB) Citations (65)
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Abstract: The degeneracy of finite-gap expressions is used to obtain a manyparameter family of smooth periodic and almost periodic solutions of the nonlinear Schrödinger equation in terms of elementary functions. A scheme for obtaining these solutions by the Darboux transformation method is considered. Propagation of a soliton on an arbitrary background is studied.
Received: 04.06.1986
English version:
Theoretical and Mathematical Physics, 1988, Volume 74, Issue 1, Pages 20–32
DOI: https://doi.org/10.1007/BF01018207
Bibliographic databases:
Language: Russian
Citation: A. R. Its, A. V. Rybin, M. A. Sall', “Exact integration of nonlinear Schrödinger equation”, TMF, 74:1 (1988), 29–45; Theoret. and Math. Phys., 74:1 (1988), 20–32
Citation in format AMSBIB
\Bibitem{ItsRybSal88}
\by A.~R.~Its, A.~V.~Rybin, M.~A.~Sall'
\paper Exact integration of nonlinear Schr\"odinger equation
\jour TMF
\yr 1988
\vol 74
\issue 1
\pages 29--45
\mathnet{http://mi.mathnet.ru/tmf4166}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=940459}
\zmath{https://zbmath.org/?q=an:0678.35012}
\transl
\jour Theoret. and Math. Phys.
\yr 1988
\vol 74
\issue 1
\pages 20--32
\crossref{https://doi.org/10.1007/BF01018207}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1988P630800003}
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  • https://www.mathnet.ru/eng/tmf/v74/i1/p29
    • This publication is cited in the following 65 articles:
    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:717
    Full-text PDF :292
    References:74
    First page:2
     
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