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Symmetry, Integrability and Geometry: Methods and Applications, 2015, Volume 11, 032, 14 pp.
DOI: https://doi.org/10.3842/SIGMA.2015.032 (Mi sigma1013) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Three-Phase Freak Waves

Aleksandr O. Smirnov, Sergei G. Matveenko, Sergei K. Semenov, Elena G. Semenova

St.-Petersburg State University of Aerospace Instrumentation (SUAI), 67 Bolshaya Morskaya Str., St.-Petersburg, 190000, Russia
Full-text PDF (1530 kB) Citations (4)
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DOI: https://doi.org/10.3842/SIGMA.2015.032
Abstract: In the article, we describe three-phase finite-gap solutions of the focusing nonlinear Schrödinger equation and Kadomtsev–Petviashvili and Hirota equations that exhibit the behavior of almost-periodic “freak waves”. We also study the dependency of the solution parameters on the spectral curves.
Keywords: nonlinear Schrödinger equation; Hirota equation; freak waves; theta function; reduction; covering; spectral curve.
Received: December 5, 2014; in final form April 11, 2015; Published online April 21, 2015
Bibliographic databases:
Document Type: Article
MSC: 35Q55; 37C55
Language: English
Citation: Aleksandr O. Smirnov, Sergei G. Matveenko, Sergei K. Semenov, Elena G. Semenova, “Three-Phase Freak Waves”, SIGMA, 11 (2015), 032, 14 pp.
Citation in format AMSBIB
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\by Aleksandr~O.~Smirnov, Sergei~G.~Matveenko, Sergei~K.~Semenov, Elena~G.~Semenova
\paper Three-Phase Freak Waves
\jour SIGMA
\yr 2015
\vol 11
\papernumber 032
\totalpages 14
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Symmetry, Integrability and Geometry: Methods and Applications
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