Super-KN Hierarchy and Its Super-Hamiltonian Structure |
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| Authors: | TAO Si-Xing XIA Tie-Cheng SHI Hui |
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| Institution: | 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 |
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| Abstract: | 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. |
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| Keywords: | Lie super algebra super-trace identity super-integrable system super-Hamiltonian structure |
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