Characteristics of rogue waves on a soliton background in a coupled nonlinear Schrodinger equation

被引：15

作者：

Wang, Xiu-Bin ^{[1
]}

Han, Bo ^{[1
]}

机构：

[1] Harbin Inst Technol, Dept Math, Harbin 150001, Heilongjiang, Peoples R China

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2019年 / 42卷 / 08期

基金：

中国国家自然科学基金;

关键词：

dynamics; solitons; rogue waves; BOUNDARY VALUE-PROBLEMS; DARK SOLITONS; BREATHER; DYNAMICS; INTEGRABILITY; SYSTEM;

D O I：

10.1002/mma.5532

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a coupled nonlinear Schrodinger (CNLS) equation, which can describe evolution of localized waves in a two-mode nonlinear fiber, is under investigation. By using the Darboux-dressing transformation, the new localized wave solutions of the equation are well constructed with a detailed derivation. These solutions reveal rogue waves on a soliton background. Moreover, the main characteristics of the solutions are discussed with some graphics. Our results would be of much importance in predicting and enriching rogue wave phenomena in nonlinear wave fields.

引用

页码：2586 / 2596

页数：11

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