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
收藏
页码：509 / 523
页数：15
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