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

JOURNAL OF GEOMETRY AND PHYSICS

卷:146

Article

Peng, Wei-Qi^1,2  Tian, Shou-Fu^1,2  Wang, Xiu-Bin⁴  Zhang, Tian-Tian^1,2  Fang, Yong³ 

[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

关键词: Three-component coupled nonlinear;    Schrodinger equation;    Riemann-Hilbert formulation;    Multi-soliton solutions;    Dynamic behaviors;   

DOI  :  10.1016/j.geomphys.2019.103508

来源: Elsevier

【 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.

【 授权许可】

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