Reduced nonlocal integrable mKdV equations of type(-λ, λ) and their exact soliton solutions

作     者：Wen-Xiu Ma Wen-Xiu Ma

作者机构：Department of MathematicsZhejiang Normal UniversityJinhua 321004China Department of MathematicsKing Abdulaziz UniversityJeddah 21589Saudi Arabia Department of Mathematics and StatisticsUniversity of South FloridaTampaFL 33620-5700United States of America 

出 版 物：《Communications in Theoretical Physics》 (理论物理通讯（英文版）)

年 卷 期：2022年第74卷第6期

页      面：15-20页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：supported in part by NSFC under the grants 11975145, 11972291 and 51771083 the Ministry of Science and Technology of China (G2021016032L) the Natural Science Foundation for Colleges and Universities in Jiangsu Province (17 KJB 110020) 

主　　题：nonlocal integrable equation soliton solution Riemann-Hilbert problem 

摘      要：We conduct two group reductions of the Ablowitz-Kaup-Newell-Segur matrix spectral problems to present a class of novel reduced nonlocal reverse-spacetime integrable modified Korteweg-de Vries equations. One reduction is local, replacing the spectral parameter with its negative and the other is nonlocal, replacing the spectral parameter with itself. Then by taking advantage of distribution of eigenvalues, we generate soliton solutions from the reflectionless Riemann-Hilbert problems, where eigenvalues could equal adjoint eigenvalues.