1. Soliton and rogue wave solutions of two-component nonlinear Schrödinger equation coupled to the Boussinesq equation
- Author
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Dong-Mei Xiao, Cai-Qin Song, and Zuo-Nong Zhu
- Subjects
Physics ,Breather ,Differential equation ,General Physics and Astronomy ,Astrophysics::Cosmology and Extragalactic Astrophysics ,sine-Gordon equation ,Kadomtsev–Petviashvili equation ,01 natural sciences ,010305 fluids & plasmas ,symbols.namesake ,Nonlinear Sciences::Exactly Solvable and Integrable Systems ,Classical mechanics ,0103 physical sciences ,symbols ,Astrophysics::Solar and Stellar Astrophysics ,Peregrine soliton ,Soliton ,010306 general physics ,Korteweg–de Vries equation ,Nonlinear Sciences::Pattern Formation and Solitons ,Nonlinear Schrödinger equation ,Astrophysics::Galaxy Astrophysics - Abstract
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.
- Published
- 2017