Dynamics of breather waves and higher-order rogue waves in a coupled nonlinear Schrodinger equation

被引：65
作者：
Peng, Wei-Qi
Tian, Shou-Fu [1 ]
Zhang, Tian-Tian
机构：
[1] China Univ Min & Technol, Sch Math, Xuzhou 221116, Jiangsu, Peoples R China
来源：
EPL | 2018年 / 123卷 / 05期
基金：
中国博士后科学基金; 中国国家自然科学基金;
关键词：
KUNDU-ECKHAUS EQUATION; DE-VRIES EQUATION; DARBOUX TRANSFORMATION; SOLITARY WAVE; DISPERSION; SOLITONS;
D O I：
10.1209/0295-5075/123/50005
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We consider a coupled nonlinear Schrodinger (NLS) equation, which can be reduced to the generalized NLS equation by constituting a certain constraint. We first construct a generalized Darboux transformation (DT) for the coupled NLS equation. Then, by using the resulting DT, we analyse the solutions with vanishing boundary condition and non-vanishing boundary condition, respectively, including positon wave, breather wave and higher-order rogue wave solutions for the coupled NLS equation. Moreover, in order to better understand the dynamic behavior, the characteristics of these solutions are discussed through some diverting graphics under different parameters choices. Copyright (C) EPLA, 2018
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页数：6
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