DYNAMICS OF DARK-DARK SOLITONS AND BREATHERS IN THE TWO-COMPONENT NONLINEAR SCHRODINGER EQUATIONS COUPLED TO BOUSSINESQ EQUATION

被引：0
|
作者：
Chen, Xiang [1 ]
Rao, Jiguang [1 ]
机构：
[1] Hubei Univ Sci & Technol, Sch Math & Stat, Xianning 437100, Hubei, Peoples R China
来源：
ROMANIAN REPORTS IN PHYSICS | 2022年 / 74卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Two-component nonlinear Schrodinger equations coupled to Boussinesq equation; Dark-dark solitons; Breathers; KP-hierarchy reduction method; ROGUE WAVES; UPPER-HYBRID; TRANSFORMATIONS; INTEGRABILITY;
D O I：
暂无
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
General higher-order dark-dark solitons and breathers in the two-component nonlinear Schrodinger equations coupled to Boussinesq (2NLS-Boussinesq) equation are derived by the bilinear KP-hierarchy reduction method, and are given in terms of determinants. These dark-dark solitons only show elastic collisions and the two dark-dark solitons can form bound states. In contrast to the dark-dark solitons in 2NLS equation, which only admits a stationary bound state, the two dark-dark solitons in the 2NLS-Boussinesq equation possesses more bound sates. The dynamics of breathers are also investigated, and they become the homoclinic orbits under particular parametric restrictions.
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页数：21
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