RIEMANN-HILBERT PROBLEMS OF A SIX-COMPONENT MKDV SYSTEM AND ITS SOLITON SOLUTIONS

被引：0

作者：

马文秀

机构：

[1] Department of Mathematics and Statistics, University of South Florida

[2] College of Mathematics and Physics, Shanghai University of Electric Power

[3] College of Mathematics and Systems Science, Shandong University of Science and Technology

[4] Department of Mathematics, King Abdulaziz University

[5] Department of Mathematics, Zhejiang Normal University

[6] International Institute for Symmetry Analysis and Mathematical Modelling, Department of Mathematical Sciences, North-West University, Mafikeng Campus

来源：

Acta Mathematica Scientia | 2019年 / 02期

关键词：

integrable hierarchy; Riemann-Hilbert problem; soliton solution;

D O I：

暂无

中图分类号：

O175 [微分方程、积分方程];

学科分类号：

070104 ;

摘要：

Based on a 4 x 4 matrix spectral problem, an AKNS soliton hierarchy with six potentials is generated. Associated with this spectral problem, a kind of Riemann-Hilbert problems is formulated for a six-component system of mKdV equations in the resulting AKNS hierarchy. Soliton solutions to the considered system of coupled mKdV equations are computed, through a reduced Riemann-Hilbert problem where an identity jump matrix is taken.

引用

页码：509 / 523

页数：15

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