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

页码：8 / 12

页数：5

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