Riemann-Hilbert method and multi-soliton solutions for three-component coupled nonlinear Schrodinger equations

被引：102
|
作者：
Peng, Wei-Qi [1 ,2 ]
Tian, Shou-Fu [1 ,2 ]
Wang, Xiu-Bin [4 ]
Zhang, Tian-Tian [1 ,2 ]
Fang, Yong [3 ]
机构：
[1] China Univ Min & Technol, Sch Math, Xuzhou 221116, Jiangsu, Peoples R China
[2] China Univ Min & Technol, Inst Math Phys, Xuzhou 221116, Jiangsu, Peoples R China
[3] Shandong Univ Sci & Technol, Coll Math & Syst Sci, Qingdao 266590, Shandong, Peoples R China
[4] Harbin Inst Technol, Dept Math, Harbin 150001, Heilongjiang, Peoples R China
来源：
JOURNAL OF GEOMETRY AND PHYSICS | 2019年 / 146卷
基金：
中国国家自然科学基金; 中国博士后科学基金;
关键词：
Three-component coupled nonlinear; Schrodinger equation; Riemann-Hilbert formulation; Multi-soliton solutions; Dynamic behaviors; N-SOLITON SOLUTIONS;
D O I：
10.1016/j.geomphys.2019.103508
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
An integrable three-component coupled nonlinear Schrodinger (NLS) equation is considered in this work. We present the scattering and inverse scattering problems of the three-component coupled NLS equation by using the Riemann-Hilbert formulation. Furthermore, according to the Riemann-Hilbert method, the multi-soliton solutions of this equation are derived. We also analyze the collision dynamic behaviors of these solitons. Moreover, a new phenomenon for two-soliton collision is displayed, which is unique and not common in integrable systems. It is hoped that our results can help enrich the nonlinear dynamics of the NLS-type equations. (C) 2019 Elsevier B.V. All rights reserved.
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页数：9
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