The N-soliton solutions for the matrix modified Korteweg-de Vries equation via the Riemann-Hilbert approach

被引：14

作者：

Chen, Xiaotong ^{[1
]}

Zhang, Yi ^{[1
]}

Liang, Jianli ^{[1
]}

Wang, Rui ^{[1
]}

机构：

[1] Zhejiang Normal Univ, Dept Math, Jinhua 321004, Zhejiang, Peoples R China

来源：

EUROPEAN PHYSICAL JOURNAL PLUS | 2020年 / 135卷 / 07期

基金：

中国国家自然科学基金;

关键词：

BOUNDARY VALUE-PROBLEM; MKDV EQUATIONS; KDV; TRANSFORMATION; ASYMPTOTICS;

D O I：

10.1140/epjp/s13360-020-00575-6

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

This paper focus on seeking the N-soliton solutions for the matrix mKdV equation, which generalizes to the multi-component mKdV equations and the coupled mKdV equations. By utilizing the technique of Riemann-Hilbert and investigating the spectral problem of the Lax pair, a class of Riemann-Hilbert problem will be discussed and established. Finally, in the case of irregularity and reflectionless, we derive the N-soliton solutions for a system of the matrix mKdV equation.

引用

页数：9

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