Super-KN Hierarchy and Its Super-Hamiltonian Structure  

作　　者：TAO Si-Xing XIA Tie-Cheng SHI Hui 

机构地区：[1]Department of Mathematics, Shanghai University, Shanghai 200444, China [2]Department of Mathematics, Shangqiu Normal University, Shangqiu 476000, China [3]Department of Physics and Information Engineering, Shangqiu Normal University, Shangqiu 476000, China

出　　处：《Communications in Theoretical Physics》2011年第3期391-395,共5页理论物理通讯（英文版）

基　　金：＊Supported by the Natural Science Foundation of China under Grant Nos. 61072147, 11071159, the Natural Science Foundation of Shanghai urlder Grant No. 09ZR1410800, the Shanghai Leading Academic Discipline Project under Grant No. J50101, and the National Key Basic Research Project of China under Grant No. KLMM0806

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.

关 键 词：Lie super algebra super-trace identity super-integrable system super-Hamiltonian structure 

分 类 号：O175.26[理学—数学] TU470[理学—基础数学]