Matrix integrable fifth-order mKdV equations and their soliton solutions  

作　　者：马文秀 Wen-Xiu Ma(Department of Mathematics,Zhejiang Normal University,Jinhua 321004,China;Department of Mathematics,King Abdulaziz University,Jeddah 21589,Saudi Arabia;Department of Mathematics and Statistics,University of South Florida,Tampa,FL33620-5700,USA;School of Mathematical and Statistical Sciences,North-West University,Mafikeng Campus,Private Bag X2046,Mmabatho 2735,South Africa)

机构地区：[1]Department of Mathematics,Zhejiang Normal University,Jinhua 321004,China [2]Department of Mathematics,King Abdulaziz University,Jeddah 21589,Saudi Arabia [3]Department of Mathematics and Statistics,University of South Florida,Tampa,FL33620-5700,USA [4]School of Mathematical and Statistical Sciences,North-West University,Mafikeng Campus,Private Bag X2046,Mmabatho 2735,South Africa

出　　处：《Chinese Physics B》2023年第2期47-52,共6页中国物理B（英文版）

基　　金：supported in part by the National Natural Science Foundation of China (Grant Nos. 11975145, 11972291, and 51771083);the Ministry of Science and Technology of China (Grant No. G2021016032L);the Natural Science Foundation for Colleges and Universities in Jiangsu Province, China (Grant No. 17 KJB 110020)。

摘　　要：We consider matrix integrable fifth-order mKdV equations via a kind of group reductions of the Ablowitz–Kaup–Newell–Segur matrix spectral problems. Based on properties of eigenvalue and adjoint eigenvalue problems, we solve the corresponding Riemann–Hilbert problems, where eigenvalues could equal adjoint eigenvalues, and construct their soliton solutions, when there are zero reflection coefficients. Illustrative examples of scalar and two-component integrable fifthorder mKdV equations are given.

关 键 词：matrix integrable equation Riemann–Hilbert problem SOLITON 

分 类 号：O175[理学—数学]