%0 Journal Article
%T The Liouville integrable coupling system of the m-AKNS hierarchy and its Hamiltonian structure
%A Yue Chao
%A Yang Geng-Wen
%A Xu Yue-Cai
%A <br>岳超
%A 杨耕文
%A 许曰才
%J 中国物理 B
%D 2007
%I 
%X In this paper a type of 9-dimensional vector loop algebra \tilde{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.
%K loop algebra
%K integrable coupling
%K Hamiltonian structure
%K quadratic identity<br>圈代数
%K Liouville可积耦合系统
%K m-AKNS分层
%K 汉密尔顿结构
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=47EA7CFDDEBB28E0&jid=CD8D6A6897B9334F09D8D1648C376FB4&aid=FF458534E88FE56F1712C76427490AED&yid=A732AF04DDA03BB3&vid=7801E6FC5AE9020C&iid=38B194292C032A66&sid=240CB58995465C01&eid=4720E9D07E8A2290&journal_id=1009-1963&journal_name=中国物理&referenced_num=0&reference_num=20