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Matematicheskie Zametki, 2013, Volume 94, Issue 6, Pages 871–883
DOI: https://doi.org/10.4213/mzm9343 (Mi mzm9343) 		 
This article is cited in 22 scientific papers (total in 22 papers)

Periodic Two-Phase “Rogue Waves”

A. O. Smirnov

Saint-Petersburg State University of Aerospace Instrumentation
Full-text PDF (1140 kB) Citations (22)
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DOI: https://doi.org/10.4213/mzm9343
Abstract: A family of periodic (in $x$ and $z$) two-gap solutions of the focusing nonlinear Schrödinger equation is constructed. A condition under which the two-gap solutions exhibit the behavior of periodic “rogue waves” is obtained.
Keywords: focusing nonlinear Schrödinger equation, “rogue wave,” periodic two-gap solution, multiphase solution, finite-gap integration, cycle basis, amplitude peak.
Received: 24.04.2012
Revised: 16.01.2013
English version:
Mathematical Notes, 2013, Volume 94, Issue 6, Pages 897–907
DOI: https://doi.org/10.1134/S0001434613110266
Bibliographic databases:
Document Type: Article
UDC: 517.957
Language: Russian
Citation: A. O. Smirnov, “Periodic Two-Phase “Rogue Waves””, Mat. Zametki, 94:6 (2013), 871–883; Math. Notes, 94:6 (2013), 897–907
Citation in format AMSBIB
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    • This publication is cited in the following 22 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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