Discrete integrable couplings associated with Toda-type lattice and two hierarchies of discrete soliton equations |
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Institution: | 1. Mathematical School, Liaoning Normal University, Dalian 116029, PR China;2. Institute of Mathematics, Fudan University, Shanghai 200433, PR China |
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Abstract: | With the help of two semi-direct sum Lie algebras, an efficient way to construct discrete integrable couplings is proposed. As its applications, the discrete integrable couplings of the Toda-type lattice equations are obtained. The approach can be devoted to establishing other discrete integrable couplings of the discrete lattice integrable hierarchies of evolution equations. |
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