%0 Journal Article
%T The multi-component Tu hierarchy of soliton equations and its multi-component integrable couplings system
%A Xia Tie-Cheng
%A Wang Hong
%A Zhang Yu-Feng
%A <br>夏铁成
%A 汪　宏
%A 张玉峰
%J 中国物理 B
%D 2005
%I 
%X A new simple loop algebra \widetilde{G}M is constructed, which is devoted to the establishing of an isospectral problem. By making use of the Tu scheme, the multi-component Tu hierarchy is obtained. Furthermore, an expanding loop algebra \widetilde{F}M of the loop algebra \widetilde{G}M is presented. Based on the \widetilde{F}M, the multi-component integrable coupling system of the multi-component Tu hierarchy has been worked out. The method can be applied to other nonlinear evolution equation hierarchies.
%K loop algebra
%K Tu hierarchy
%K integrable couplings system<br>环代数
%K Tu分层
%K 积分耦合系统
%K 同位光谱
%K 孤波方程
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=47EA7CFDDEBB28E0&jid=CD8D6A6897B9334F09D8D1648C376FB4&aid=9BE8822967D2F35C54BA8F85931FF547&yid=2DD7160C83D0ACED&vid=F3583C8E78166B9E&iid=0B39A22176CE99FB&sid=002786F01A86D891&eid=1D01216AD76577EC&journal_id=1009-1963&journal_name=中国物理&referenced_num=2&reference_num=38