Breather wave, rogue wave and solitary wave solutions of a coupled nonlinear Schrodinger equation

被引：120
|
作者：
Feng, Lian-Li [1 ]
Zhang, Tian-Tian [1 ]
机构：
[1] China Univ Min & Technol, Sch Math, Xuzhou 221116, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2018年 / 78卷
关键词：
The coupled NLS equation; Darboux transformation; Breather wave; Rogue wave; Solitary wave; BACKLUND TRANSFORMATION; SOLITONS; INTEGRABILITY; SYMMETRIES; DYNAMICS; SYSTEM;
D O I：
10.1016/j.aml.2017.11.011
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Under investigation in this paper is a coupled nonlinear Schrodinger (NLS) equation, which describes nonlinear pulse propagation in optical fibers by retaining terms up to the next leading asymptotic order. Based on the Lax pair of the coupled NLS equation, we construct the determinant representation of the N-fold Darboux transformation(DT). Furthermore, by using the obtained N-fold DT, we obtain its higher-order soliton, breather and rogue wave solutions. Finally, the dynamic characteristics of these solutions are discussed. (C) 2017 Elsevier Ltd. All rights reserved.
引用
收藏
页码：133 / 140
页数：8
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