Super-KN Hierarchy and Its Super-Hamiltonian Structure

被引：14
作者：
Tao Si-Xing [1 ,2 ]
Xia Tie-Cheng [1 ]
Shi Hui [3 ]
机构：
[1] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China
[2] Shangqiu Normal Univ, Dept Math, Shangqiu 476000, Peoples R China
[3] Shangqiu Normal Univ, Dept Phys & Informat Engn, Shangqiu 476000, Peoples R China
来源：
COMMUNICATIONS IN THEORETICAL PHYSICS | 2011年 / 55卷 / 03期
基金：
上海市自然科学基金;
关键词：
Lie super algebra; super-trace identity; super-integrable system; super-Hamiltonian structure; INTEGRABLE SYSTEMS; SPECTRAL PROBLEM; LOOP ALGEBRA; LIE-ALGEBRAS; COUPLINGS;
D O I：
10.1088/0253-6102/55/3/03
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Based on the basis of the constructed Lie super algebra, the super-isospectral problem of KN hierarchy is considered. Under the frame of the zero curvature equation, the super-KN hierarchy is obtained. Furthermore, its super-Hamiltonian structure is presented by using super-trace identity and it has super-bi-Hamiltonian structure.
引用
收藏
页码：391 / 395
页数：5
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