Breather-to-soliton conversions and nonlinear wave interactions in a coupled Hirota system

被引：64
|
作者：
Zhao, Hui-Hui [1 ]
Zhao, Xiao-Juan [1 ]
Hao, Hui-Qin [1 ]
机构：
[1] Taiyuan Univ Technol, Sch Math, Taiyuan 030024, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2016年 / 61卷
基金：
中国国家自然科学基金;
关键词：
Breather-soliton dynamics; A coupled Hirota system; Multi-peak soliton; Antidark soliton; Periodic wave;
D O I：
10.1016/j.aml.2016.04.016
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, a coupled Hirota system with higher-order effects is analytically investigated. The results show that the breather solutions can be converted into some types of nonlinear localized and periodic solutions on the plane-wave background. The exact relations for the conversions are presented, which depend on the higher-order effects, the background frequency and the eigenvalue. Via some graphic illustrations, the collisions between these nonlinear waves in the second-order conversions are displayed. (C) 2016 Elsevier Ltd. All rights reserved.
引用
收藏
页码：8 / 12
页数：5
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