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：

中国国家自然科学基金; 北京市自然科学基金;

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.

引用

页数：19

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