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Teoreticheskaya i Matematicheskaya Fizika, 2012, Volume 173, Number 1, Pages 89–103
DOI: https://doi.org/10.4213/tmf6947 (Mi tmf6947) 		 
This article is cited in 19 scientific papers (total in 19 papers)

Solution of a nonlinear Schrödinger equation in the form of two-phase freak waves

A. O. Smirnov

St.~Petersburg State University of Aerospace Instrumentation, St. Petersburg, Russia
Full-text PDF (1215 kB) Citations (19)
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DOI: https://doi.org/10.4213/tmf6947
Abstract: We construct a family of two-gap solutions of the focusing nonlinear Schrödinger equation and derive a condition under which the solutions behave as the so-called freak waves located at the nodes of a two-dimensional lattice. We also study how the lattice parameters depend on the parameters of the spectral curve.
Keywords: rogue wave, freak wave, nonlinear Schrödinger equation, theta function, reduction, covering.
Received: 13.01.2012
Revised: 10.03.2012
English version:
Theoretical and Mathematical Physics, 2012, Volume 173, Issue 1, Pages 1403–1416
DOI: https://doi.org/10.1007/s11232-012-0122-6
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. O. Smirnov, “Solution of a nonlinear Schrödinger equation in the form of two-phase freak waves”, TMF, 173:1 (2012), 89–103; Theoret. and Math. Phys., 173:1 (2012), 1403–1416
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/tmf/v173/i1/p89
    • This publication is cited in the following 19 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:873
    Full-text PDF :388
    References:73
    First page:47
     
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