Soliton and rogue wave solutions of two-component nonlinear Schrodinger equation coupled to the Boussinesq equation

The nonlinear Schrodinger （NLS） equation and Boussinesq equation are two very important integrable equations. They have widely physical applications. In this paper, we investigate a nonlinear system, which is the two-component NLS equation coupled to the Boussinesq equation. We obtain the bright-bri...

Full description

Saved in:
Bibliographic Details
Published inChinese physics B Vol. 26; no. 10; pp. 28 - 37
Main Author 宋彩芹 肖冬梅 朱佐农
Format Journal Article
LanguageEnglish
Published 01.10.2017
Subjects
Boussinesq方程
NLS方程
周期性振荡
多分量
孤子解
耦合
非线性系统
非线性薛定谔方程
Online AccessGet full text
ISSN1674-1056
2058-3834
DOI10.1088/1674-1056/26/10/100204

Cover

More Information
Summary:The nonlinear Schrodinger （NLS） equation and Boussinesq equation are two very important integrable equations. They have widely physical applications. In this paper, we investigate a nonlinear system, which is the two-component NLS equation coupled to the Boussinesq equation. We obtain the bright-bright, bright-dark, and dark-dark soliton solutions to the nonlinear system. We discuss the collision between two solitons. We observe that the collision of bright-bright soliton is inelastic and two solitons oscillating periodically can happen in the two parallel-traveling bright-bright or bright-dark soliton solution. The general breather and rogue wave solutions are also given. Our results show again that there are more abundant dynamical properties for multi-component nonlinear systems.
Bibliography:Cai-Qin Song, Dong-Mei Xiao, Zuo-Nong Zhu（ School of Mathematical Sciences, Shanghai Jiao Tong University, Shanghai 200240, China）
The nonlinear Schrodinger （NLS） equation and Boussinesq equation are two very important integrable equations. They have widely physical applications. In this paper, we investigate a nonlinear system, which is the two-component NLS equation coupled to the Boussinesq equation. We obtain the bright-bright, bright-dark, and dark-dark soliton solutions to the nonlinear system. We discuss the collision between two solitons. We observe that the collision of bright-bright soliton is inelastic and two solitons oscillating periodically can happen in the two parallel-traveling bright-bright or bright-dark soliton solution. The general breather and rogue wave solutions are also given. Our results show again that there are more abundant dynamical properties for multi-component nonlinear systems.
multi-component NLS-Boussinesq equation, soliton solution, rogue wave solution
11-5639/O4
ISSN:1674-1056
2058-3834
DOI:10.1088/1674-1056/26/10/100204