Riemann-Hilbert problems and N-soliton solutions for a coupled mKdV system

被引：160
|
作者：
Ma, Wen-Xiu [1 ,2 ,3 ]
机构：
[1] Shandong Univ Sci & Technol, Coll Math & Syst Sci, Qingdao 266590, Shandong, Peoples R China
[2] Univ S Florida, Dept Math & Stat, Tampa, FL 33620 USA
[3] North West Univ, Dept Math Sci, Mafikeng Campus, ZA-2735 Mmabatho, South Africa
来源：
JOURNAL OF GEOMETRY AND PHYSICS | 2018年 / 132卷
基金：
美国国家科学基金会;
关键词：
Riemann-Hilbert problem; N-soliton solution; Integrable hierarchy; HAMILTONIAN STRUCTURES; INTEGRABLE SYSTEMS; SEMIDIRECT SUMS; EQUATIONS; HIERARCHY;
D O I：
10.1016/j.geomphys.2018.05.024
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A 3 x 3 matrix spectral problem is introduced and its associated AKNS integrable hierarchy with four components is generated. From this spectral problem, a kind of Riemann-Hilbert problems is formulated for a system of coupled mKdV equations in the resulting AKNS integrable hierarchy. N-soliton solutions to the coupled mKdV system are presented through a specific Riemann Hilbert problem with an identity jump matrix. (C) 2018 Elsevier B.V. All rights reserved.
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页码：45 / 54
页数：10
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