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

被引：13
|
作者：
Smirnov, A. O. [1 ]
机构：
[1] St Petersburg State Univ Aerosp Instrumentat, St Petersburg, Russia
来源：
THEORETICAL AND MATHEMATICAL PHYSICS | 2012年 / 173卷 / 01期
基金：
俄罗斯基础研究基金会;
关键词：
rogue wave; freak wave; nonlinear Schrodinger equation; theta function; reduction; covering; ROGUE WAVES; ELLIPTIC SOLUTIONS; MELNIKOV ANALYSIS; NLS EQUATION; CHAOS; SOLITON;
D O I：
10.1007/s11232-012-0122-6
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We construct a family of two-gap solutions of the focusing nonlinear Schrodinger 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.
引用
收藏
页码：1403 / 1416
页数：14
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