Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics]
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Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics], 2013, Volume 9, Number 3, Pages 389–407 (Mi nd396)  
This article is cited in 5 scientific papers (total in 5 papers)

Constructed in the elliptic functions three-phase solutions for the nonlinear Schrödinger equation

Alexander O. Smirnov, Grigory M. Golovachev

Saint Petersburg State University of Airspace Instrumentation (SUAI), Bolshaya Morskaya str. 67, Saint Petersburg, 190000, Russia
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Abstract: Three-phase finite-gap with behavior of almost-periodic freak waves solutions for the nonlinear Schrödinger and the KP-I equations were constructed. Dependencies of parameters of solutions from the parameters of spectral curve were studied.
Keywords: rogue waves, freak waves, nonlinear Schrödinger equation, KP equation, Hirota equation, theta-function, reduction, covering.
Received: 03.03.2013
Revised: 31.05.2013
Document Type: Article
UDC: 517.957
MSC: 35Q53
Language: Russian
Citation: Alexander O. Smirnov, Grigory M. Golovachev, “Constructed in the elliptic functions three-phase solutions for the nonlinear Schrödinger equation”, Nelin. Dinam., 9:3 (2013), 389–407
Citation in format AMSBIB
\Bibitem{SmiGol13}
\by Alexander~O.~Smirnov, Grigory~M.~Golovachev
\paper Constructed in the elliptic functions three-phase solutions for the nonlinear Schr\"odinger equation
\jour Nelin. Dinam.
\yr 2013
\vol 9
\issue 3
\pages 389--407
\mathnet{http://mi.mathnet.ru/nd396}
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  • https://www.mathnet.ru/eng/nd/v9/i3/p389
    • This publication is cited in the following 5 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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