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一个高维loop代数及其应用
引用本文:张玉峰,闫庆友,董焕河.一个高维loop代数及其应用[J].数学学报,2006,49(5):1133-114.
作者姓名:张玉峰  闫庆友  董焕河
作者单位:[1]辽宁师范大学数学学院,大连116029 [2]华北电力大学工商管理学院,北京102206 [3]山东科技大学信息学院,青岛266510
基金项目:国家自然科学基金资助项目(10471139)致谢 作者对审稿专家提出的宝贵修改意见深表感谢!
摘    要:本文构造了一个7维loop代数,由此获得两个已知的Liouville可积族.利用屠格式和可积耦合定义得到了相应的四个扩展可积模型.另外,利用马格式求得了上面已知可积系之一的非等谱流.

关 键 词:loop代数  可积模型  非等谱流
文章编号:0583-1431(2006)05-1133-12
收稿时间:2004-10-25
修稿时间:2004-10-252005-05-30

A New High Dimensional Loop Algebra and Its Applications
Yu Feng ZHANG ,Qing You YAN, Huan He DONG.A New High Dimensional Loop Algebra and Its Applications[J].Acta Mathematica Sinica,2006,49(5):1133-114.
Authors:Yu Feng ZHANG  Qing You YAN  Huan He DONG
Institution:Mathematical School, Liaoning Normal University, Dalian 116029, P. R. China; School of Business Administration, North China Electric Power University,;Information School, Shandong University of Science and Technology,
Abstract:A new loop algebra with 7 dimensions is constructed, which is devoted to two known Liouville integrable hierarchies. From which, the resulting four expanded integrable models are obtained by making use of Tu scheme and the definition of integrable couplings. In addition, the nonisospectral flows of one of the above known hierarchies are given by the use of Ma scheme.
Keywords:loop algebra  integrable model  nonisospectral flow
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