Application of a semi-direct sum of Lie algebras to the TD hierarchy |
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| Authors: | Fucai You Tiecheng Xia |
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| Institution: | aDepartment of Mathematics, Shanghai University, Shanghai 200444, PR China;bKey Laboratory of Mathematics Mechanization, Beijin 100049, PR China |
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| Abstract: | We construct a Lie algebra G by using a semi-direct sum of Lie algebra G1 with Lie algebra G2. A direct application to the TD hierarchy leads to a novel hierarchy of integrable couplings of the TD hierarchy. Furthermore, the generalized variational identity is applied to Lie algebra G to obtain quasi-Hamiltonian structures of the associated integrable couplings. |
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