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

Wen-Xiu Ma¹

扫码查看

作者信息

1. 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,FL 33620-5700,United States of America;Material Science Innovation and Modelling,Department of Mathematical Sciences,North-West University,Mafikeng Campus,Mmabatho 2735,South Africa
折叠

Abstract

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 Schrödinger equations and modified Korteweg-de Vries equations,are given.

Key words

integrable hierarchy/Hamiltonian structure/zero curvature equation/Lax pair/matrix spectral problem

引用本文复制引用

基金项目

NSFC(12271488)

NSFC(11975145)

NSFC(11972291)

Ministry of Science and Technology of China(G2021016032L)

Ministry of Science and Technology of China(G2023016011L)

Natural Science Foundation for Colleges and Universities in Jiangsu Province(17 KJB 110020)

出版年

2024

理论物理通讯(英文版)

中国科学院理论物理研究所中国物理学会

理论物理通讯(英文版)

CSTPCD

影响因子：0.333

ISSN：0253-6102

段落导航