Soliton and rogue wave solutions of two-component nonlinear Schr(o)dinger equation coupled to the Boussinesq equation

• 来源期刊: 中国物理B（英文版）
• 关键词: multi-component NLS-Boussinesq equation soliton solution rogue wave solution
• 年，卷（期）: 2017,（10）
• 页码范围: 28-37
• 页数: 10页
• 语种: 英文
• DOI: 10.1088/1674-1056/26/10/100204

摘要

The nonlinear Schr(o)dinger (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.