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Zapiski Nauchnykh Seminarov POMI, 2012, Volume 398, Pages 209–222 (Mi znsl5203)  
This article is cited in 5 scientific papers (total in 5 papers)

Elliptic breather for nonlinear Shrödinger equation

A. O. Smirnov

St. Petersburg State University of Aerospace Instrumentation, St. Petersburg, Russia
Full-text PDF (820 kB) Citations (5)
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Abstract: Two-phase elliptic solution of the nonlinear Shrödinger equation is constructed. The conditions on the parameters for the periodic rogue wave solution are given. It is shown that degenerations of this solution lead to Akhmediev breather and to Peregrin soliton.
Key words and phrases: finite-gap solution, rogue wave, nonlinear Shrödinger equation, soliton, breather.
Received: 18.09.2011
English version:
Journal of Mathematical Sciences (New York), 2013, Volume 192, Issue 1, Pages 117–125
DOI: https://doi.org/10.1007/s10958-013-1378-6
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: A. O. Smirnov, “Elliptic breather for nonlinear Shrödinger equation”, Questions of quantum field theory and statistical physics. Part 22, Zap. Nauchn. Sem. POMI, 398, POMI, St. Petersburg, 2012, 209–222; J. Math. Sci. (N. Y.), 192:1 (2013), 117–125
Citation in format AMSBIB
\Bibitem{Smi12}
\by A.~O.~Smirnov
\paper Elliptic breather for nonlinear Shr\"odinger equation
\inbook Questions of quantum field theory and statistical physics. Part~22
\serial Zap. Nauchn. Sem. POMI
\yr 2012
\vol 398
\pages 209--222
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl5203}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2944996}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2013
\vol 192
\issue 1
\pages 117--125
\crossref{https://doi.org/10.1007/s10958-013-1378-6}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84884988248}
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  • https://www.mathnet.ru/eng/znsl/v398/p209
    • 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
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