Dynamics of degenerate and nondegenerate solitons in the two-component nonlinear Schrodinger equations coupled to Boussinesq equation

被引：3
|
作者：
Chen, Xiang [1 ]
Mihalache, Dumitru [2 ]
Rao, Jiguang [1 ]
机构：
[1] Hubei Univ Sci & Technol, Sch Math & Stat, Xianning 437100, Hubei, Peoples R China
[2] Horia Hulubei Natl Inst Phys & Nucl Engn, POB MG-6, RO-077125 Magurele, Romania
来源：
NONLINEAR DYNAMICS | 2023年 / 111卷 / 01期
关键词：
Nondegenerate solitons; Soliton collisions; Two-component nonlinear Schrodinger equations coupled to Boussinesq equation; Bilinear KP-reduction method; PARTIALLY COHERENT SOLITONS; INVERSE SCATTERING TRANSFORM; MULTIPLE POLE SOLUTIONS; DARK-DARK SOLITONS; ORDER ROGUE WAVES; OPTICAL-FIBERS; HOMOCLINIC ORBITS; VECTOR SOLITONS; UPPER-HYBRID; INTEGRABILITY;
D O I：
10.1007/s11071-022-07869-7
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
The paper studies the dynamics of degenerate and nondegenerate bright solitons and their collisions in the two-component nonlinear Schrodinger equations coupled to Boussinesq equation. The degenerate solitons that have only single-hump profiles, exhibit both elastic and inelastic collisions, and their velocities are identical in the two short wave (SW) components and in the long wave (LW) component. The nondegenerate single solitons have two different forms: one of them has double- or single-hump profiles and identical velocities in all SW and LW components, and the other one only admits single-hump profiles and has unequal velocities in the two SW components. The collisions of nondegenerate solitons cannot result in the redistribution of soliton intensities. Three different types of collisions of nondegenerate two-soliton solutions are studied in detail.
引用
收藏
页码：697 / 711
页数：15
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