Riemann-Hilbert problems and soliton solutions for a multi-component cubic-quintic nonlinear Schrodinger equation

被引：12
|
作者：
Zhang, Yong [1 ]
Dong, Huan-He [1 ]
Wang, Deng-Shan [2 ]
机构：
[1] Shandong Univ Sci & Technol, Coll Math & Syst Sci, Qingdao 266590, Peoples R China
[2] Beijing Informat Sci & Technol Univ, Sch Appl Sci, Beijing 100192, Peoples R China
来源：
JOURNAL OF GEOMETRY AND PHYSICS | 2020年 / 149卷
基金：
北京市自然科学基金; 中国国家自然科学基金;
关键词：
Multi-component cubic-quintic nonlinear; Schrodinger equation; Integrable hierarchy; Riemann-Hilbert problem; Soliton solution; INVERSE SCATTERING TRANSFORM; SEMIDIRECT SUMS; MKDV SYSTEM; INTEGRABILITY; EVOLUTION; WAVES;
D O I：
10.1016/j.geomphys.2019.103569
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, based on the zero curvature equation, an arbitrary order matrix spectral problem is studied and its associated multi-component cubic-quintic nonlinear Schrodinger integrable hierarchy is derived. In order to solve the multi-component cubic-quintic nonlinear Schrodinger system, a class of Riemann-Hilbert problem is proposed with appropriate transformation. Through the special Riemann-Hilbert problem, where the jump matrix is considered to be an identity matrix, the soliton solutions of all integrable equations are explicitly calculated. The specific examples of one-soliton, two-soliton and N-soliton solutions are explicitly presented. (C) 2019 Elsevier B.V. All rights reserved.
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页数：19
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