A new hierarchy of lax and liouville integrable evolution equations associated with an isospectral problem in the loop algebra Ã2

被引：0
作者：
Yan Z. [1 ]
机构：
[1] Key Laboratory of Mathematics Mechanization, Academy of Mathematics and Systems Science, Chinese Academy of Sciences
来源：
Journal of Systems Science and Complexity | 2006年 / 19卷 / 3期
基金：
中国国家自然科学基金;
关键词：
Hamiltonian structure; Isospectral problem; Lax integrable; Liouville integrable; Loop algebra;
D O I：
10.1007/s11424-006-0301-3
中图分类号：
学科分类号：
摘要：
In this paper, an isospectral problem with five potentials is investigated in loop algebra à 2 such that a new hierarchy of evolution equations with five arbitrary functions is obtained. And then by fixing the five arbitrary functions to be certain functions and using the trace identity, the generalized Hamiltonian structure of the hierarchy of evolution equations is given. It is shown that this hierarchy of equations is Liouville integrable. Finally some special cases of the isospectral problem are also given. © Springer Science + Business Media, Inc. 2006.
引用
收藏
页码：301 / 306
页数：5
相关论文
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