On rogue wave in the Kundu-DNLS equation

被引：19
作者：
Shan, Shibao [1 ]
Li, Chuanzhong [1 ]
He, Jingsong [1 ]
机构：
[1] Ningbo Univ, Dept Math, Ningbo 315211, Zhejiang, Peoples R China
来源：
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2013年 / 18卷 / 12期
基金：
中国国家自然科学基金;
关键词：
Kundu-DNLS equation; Darboux transformation; Soliton solutions; Breather solution; Positon solution; Rogue waves; MODULATION; INSTABILITY;
D O I：
10.1016/j.cnsns.2013.05.006
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, the determinant representation of the n-fold Darboux transformation (DT) of the Kundu-DNLS equation is given. Based on our analysis, the soliton solutions, positon solutions and breather solutions of the Kundu-DNLS equation are given explicitly. Further, we also construct the rogue wave solutions which are given by using the Taylor expansion of the breather solution. Particularly, these rogue wave solutions possess several free parameters. With the help of these parameters, these rogue waves constitute several patterns, such as fundamental pattern, triangular pattern, circular pattern. (C) 2013 Elsevier B. V. All rights reserved.
引用
收藏
页码：3337 / 3349
页数：13
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