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The super-classical-Boussinesq hierarchy and its super-Hamiltonian structure |
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| Authors: | Tao Si-Xing and Xia Tie-Cheng |
| Institution: | Department of Mathematics, Shanghai University, Shanghai 200444, China; Department of Mathematics, Shangqiu Normal University, Shangqiu 476000, China |
| Abstract: | Based on the constructed Lie superalgebra, the super-classical-Boussinesq hierarchy is obtained. Then, its super-Hamiltonian structure is obtained by making use of super-trace identity. Furthermore, the super-classical-Boussinesq hierarchy is also integrable in the sense of Liouville. |
| Keywords: | Lie superalgebra super-trace identity super-integrable system super-Hamiltonian structure |
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