The Liouville integrable coupling system of the m-AKNS hierarchy and its Hamiltonian structure

作     者：岳超 杨耕文 许曰才 

作者机构：School of Information Engineering Talshan Medical University Taian 271016 China Editorial Department of Journal of Luoyang University Luoyang 471023 China School of Adult Education Shandong University of Science and Technology Talan 271000 China 

出 版 物：《Chinese Physics B》 (中国物理B（英文版）)

年 卷 期：2007年第16卷第3期

页      面：595-598页

核心收录：

学科分类：07[理学] 08[工学] 080101[工学-一般力学与力学基础] 0701[理学-数学] 0801[工学-力学（可授工学、理学学位）] 070101[理学-基础数学] 

主　　题：loop algebra integrable coupling Hamiltonian structure quadratic identity 

摘      要：In this paper a type of 9-dimensional vector loop algebra F is constructed, which is devoted to establish an isospectral problem. It follows that a Liouville integrable coupling system of the m-AKNS hierarchy is obtained by employing the Tu scheme, whose Hamiltonian structure is worked out by making use of constructed quadratic identity. The method given in the paper can be used to obtain many other integrable couplings and their Hamiltonian structures.