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

作　　者：Wen-Xiu MA 马文秀(Department of Mathematics, Zhejiang Normal University;Department of Mathematics, King Abdulaziz University;Department of Mathematics and Statistics, University of South Florida;College of Mathematics and Systems Science, Shandong University of Science and Technology;College of Mathematics and Physics, Shanghai University of Electric Power;International Institute for Symmetry Analysis and Mathematical Modelling, Department of Mathematical Sciences, North-West University, Mafikeng Campus)

机构地区：[1]Department of Mathematics, Zhejiang Normal University [2]Department of Mathematics, King Abdulaziz University [3]Department of Mathematics and Statistics, University of South Florida [4]College of Mathematics and Systems Science, Shandong University of Science and Technology [5]College of Mathematics and Physics, Shanghai University of Electric Power [6]International Institute for Symmetry Analysis and Mathematical Modelling, Department of Mathematical Sciences, North-West University, Mafikeng Campus

出　　处：《Acta Mathematica Scientia》2019年第2期509-523,共15页数学物理学报（B辑英文版）

基　　金：supported in part by NSFC(11371326,11301331,and 11371086);NSF under the grant DMS-1664561;the 111 project of China(B16002);the China state administration of foreign experts affairs system under the affiliation of North China Electric Power University,Natural Science Fund for Colleges and Universities of Jiangsu Province under the grant 17KJB110020;the Distinguished Professorships by Shanghai University of Electric Power,China and North-West University,South Africa

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.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.

关 键 词：INTEGRABLE HIERARCHY RIEMANN-HILBERT problem SOLITON solution 

分 类 号：O[理学]