A combined Liouville integrable hierarchy associated with a fourth-order matrix spectral problem

作     者：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 Florida TampaFL 33620-5700United States of America Material Science Innovation and ModellingDepartment of Mathematical SciencesNorth-West UniversityMafikeng CampusMmabatho 2735South Africa 

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

年 卷 期：2024年第76卷第7期

页      面：1-8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 Grants 12271488, 11975145 and 11972291 the Ministry of Science and Technology of China (G2021016032L and G2023016011L) the Natural Science Foundation for Colleges and Universities in Jiangsu Province (17 KJB 110020) 

主　　题：integrable hierarchy Hamiltonian structure zero curvature equation Lax pair matrix spectral problem 

摘      要：This paper aims to propose a fourth-order matrix spectral problem involving four potentials and generate an associated Liouville integrable hierarchy via the zero curvature formulation.A bi-Hamiltonian formulation is furnished by applying the trace identity and a recursion operator is explicitly worked out,which exhibits the Liouville integrability of each model in the resulting *** specific examples,consisting of novel generalized combined nonlinear Schrodinger equations and modified Korteweg-de Vries equations,are given.