Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics]
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Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics], 2015, Volume 11, Number 2, Pages 219–240 (Mi nd477)  
This article is cited in 2 scientific papers (total in 2 papers)

Original papers

Quasi-rational solutions of nonlinear Schrödinger equation

V. B. Matveeva, P. Dubardb, A. O. Smirnova

a Saint-Petersburg State University of Aerospace Instrumentation
b Department of Mathematics and Applied Mathematics, University of Cape Town, South Africa
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Abstract: The method for constructing quasi-rational solutions of the nonlinear Schrödinger equation, Kadomtsev – Petviashvili equation and some other integrable nonlinear equations is considered. Examples of range 2 and 3 solutions are given.
Keywords: rogue waves, freak waves, nonlinear Schrödinger equation, KP equation, Darboux transformation.
Funding agency Grant number
Russian Foundation for Basic Research 14-01-00589_а
Received: 25.10.2014
Revised: 17.01.2015
Document Type: Article
UDC: 517.957
MSC: 35Q55, 37K10
Language: Russian
Citation: V. B. Matveev, P. Dubard, A. O. Smirnov, “Quasi-rational solutions of nonlinear Schrödinger equation”, Nelin. Dinam., 11:2 (2015), 219–240
Citation in format AMSBIB
\Bibitem{MatDubSmi15}
\by V.~B.~Matveev, P.~Dubard, A.~O.~Smirnov
\paper Quasi-rational solutions of nonlinear Schr\"odinger equation
\jour Nelin. Dinam.
\yr 2015
\vol 11
\issue 2
\pages 219--240
\mathnet{http://mi.mathnet.ru/nd477}
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  • https://www.mathnet.ru/eng/nd/v11/i2/p219
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Нелинейная динамика
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