Inverse scattering transformation for generalized nonlinear Schrodinger equation

被引：96

作者：

Zhang, Xiaoen ^{[1
]}

Chen, Yong ^{[1
,2
]}

机构：

[1] East China Normal Univ, Shanghai Key Lab Trustworthy Comp, Shanghai 200062, Peoples R China

[2] Zhejiang Normal Univ, Dept Phys, Jinhua 321004, Zhejiang, Peoples R China

来源：

APPLIED MATHEMATICS LETTERS | 2019年 / 98卷

基金：

中国国家自然科学基金;

关键词：

Generalized Schrodinger equation; Robust inverse scattering transformation method; Nonzero-boundary condition; Rogue wave; Breather; WAVES;

D O I：

10.1016/j.aml.2019.06.014

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Based on the robust inverse scattering method, the high-order rogue wave of generalized nonlinear Schrodinger equation with nonzero boundary is given. Using this method, we only need the elementary Darboux transformation but not with the limit progress, which is more convenient than before. By choosing different parameters c(1) and c(2) appeared in the Darboux matrix, the 2n and 2n - 1 order rogue waves are derived respectively. Furthermore, the general breather is also given with a different spectral parameters. (C) 2019 Elsevier Ltd. All rights reserved.

引用

页码：306 / 313

页数：8

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