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

作　　者：Wen-Xiu Ma 

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,FL 33620-5700,United States of America [4]Material Science Innovation and Modelling,Department of Mathematical Sciences,North-West University,Mafikeng Campus,Mmabatho 2735,South Africa

出　　处：《Communications in Theoretical Physics》2024年第7期1-8,共8页理论物理通讯（英文版）

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)

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 hierarchy.Two specific examples,consisting of novel generalized combined nonlinear Schrodinger equations and modified Korteweg-de Vries equations,are given.

关 键 词：INTEGRABLE hierarchy HAMILTONIAN structure zero curvature equation LAX pair MATRIX spectral problem 

分 类 号：O151.21[理学—数学]