%0 Journal Article
%T A generalized SHGI integrable hierarchy and its expanding integrable model
%A Zhang Yu-Feng
%A <br>张玉峰
%J 中国物理 B
%D 2004
%I 
%X An anti-symmetric loop algebra \overline{A}_2 is constructed. It follows that an integrable system is obtained by use of Tu's scheme. The eminent feature of this integrable system is that it is reduced to a generalized Schr?dinger equation, the well-known heat-conduction equation and a Gerdjkov－Ivanov (GI) equation. Therefore, we call it a generalized SHGI hierarchy. Next, a new high-dimensional subalgebra \tilde{G} of the loop algebra ?_2 is constructed. As its application, a new expanding integrable system with six potential functions is engendered.
%K integrable system
%K Hamiltonian structure
%K loop algebra<br>积分系统
%K 哈密顿结构
%K 环代数
%K 势函数
%K 矩阵
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=47EA7CFDDEBB28E0&jid=CD8D6A6897B9334F09D8D1648C376FB4&aid=5FCC1C41AA4F5BCC4BBFE1D022B5338C&yid=D0E58B75BFD8E51C&vid=FC0714F8D2EB605D&iid=38B194292C032A66&sid=F416A9924F23B020&eid=A2745AA1110798CA&journal_id=1009-1963&journal_name=中国物理&referenced_num=0&reference_num=15