一族可积系及其可积耦合(英文)  

An Integrable System and its Integrable Coupling

作　　者：李柱[1] 张玉娟[2] 

机构地区：[1]信阳师范学院数学与信息科学学院,河南信阳464000 [2]信阳职业技术学院经济贸易系,河南信阳464000

出　　处：《信阳师范学院学报（自然科学版）》2009年第4期493-496,共4页Journal of Xinyang Normal University(Natural Science Edition)

基　　金：Young Foundation of Xinyang Normal University(20070207)

摘　　要：基于离散等谱问题得到了一族具有双哈密顿结构的Liouville可积系,然后利用半直和的方法得到了其可积耦合系统.A hierarchy of integrable discrete equations is derived based on discrete isospectral problem. It is shown that the hierarchy is completely integrable in the Liouville sense and possesses bi-Hamihonian structure. Then,integrable couplings of the obtained system is given by means of semi-direct sums of Lie algebras.

关 键 词：等谱问题 哈密顿结构 可积耦合 

分 类 号：O175.29[理学—数学]