Multi-soliton solutions for the coupled modified nonlinear Schrodinger equations via Riemann-Hilbert approach

被引：15
|
作者：
Kang, Zhou-Zheng [1 ,2 ]
Xia, Tie-Cheng [1 ]
Ma, Xi [1 ]
机构：
[1] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China
[2] Inner Mongolia Univ Nationalities, Coll Math, Tongliao 028043, Peoples R China
来源：
CHINESE PHYSICS B | 2018年 / 27卷 / 07期
基金：
中国国家自然科学基金;
关键词：
coupled modified nonlinear Schrodinger equations; Riemann-Hilbert approach; multi-soliton solutions; N-SOLITON SOLUTIONS;
D O I：
10.1088/1674-1056/27/7/070201
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The coupled modified nonlinear Schrodinger equations are under investigation in this work. Starting from analyzing the spectral problem of the Lax pair, a Riemann-Hilbert problem for the coupled modified nonlinear Schrodinger equations is formulated. And then, through solving the obtained Riemann-Hilbert problem under the conditions of irregularity and reflectionless case, N-soliton solutions for the equations are presented. Furthermore, the localized structures and dynamic behaviors of the one-soliton solution are shown graphically.
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页数：8
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