Three-Phase Freak Waves

被引:6
|
作者
Smirnov, Aleksandr O. [1 ]
Matveenko, Sergi G. [1 ]
Semenov, Sergei K. [1 ]
Semenova, Elena G. [1 ]
机构
[1] St Petersburg State Univ Aerosp Instrumentat SUAI, St Petersburg 190000, Russia
关键词
nonlinear Schrodinger equation; Hirota equation; freak waves; theta function; reduction; covering; spectral curve; NONLINEAR SCHRODINGER-EQUATION; ALGEBRO-GEOMETRIC SOLUTIONS; NUMERICAL EVALUATION; SOLITON-SOLUTIONS; ROGUE WAVES; INTEGRATION; SPECTRUM; HIROTA;
D O I
10.3842/SIGMA.2015.032
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In the article, we describe three-phase finite-gap solutions of the focusing nonlinear Schrodinger 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.
引用
收藏
页数:14
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