A generalized super AKNS hierarchy associated with orthosymplectic Lie superalgebra
OSP(2,2) and its super bi-Hamiltonian structures |
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| Authors: | Jing Yu Jingwei Han Chuanzhong Li |
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| Institution: | 1. School of Science, Hangzhou Dianzi University, Hangzhou, China;2. School of Information Engineering, Hangzhou Dianzi University, Hangzhou, China;3. Department of Mathematics, Ningbo University, Ningbo, China |
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| Abstract: | For the orthosymplectic Lie superalgebra , we choose a set of basis matrices. A linear combination of those basis matrices presents a spatial spectral matrix. The compatible condition of the spatial part and the corresponding temporal parts of the spectral problem leads to a generalized super AKNS (GSAKNS) hierarchy. By making use of the supertrace identity, the obtained GSAKNS hierarchy can be written as the super bi-Hamiltonian structures. |
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| Keywords: | GSAKNS hierarchy super Hamiltonian structure supertrace identity PACS codes: 02 30 Ik 05 45 Yv 11 30 Pb |
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