摘要Starting from a discrete spectral problem, the corresponding hierarchy of nonlinear differential-difference equation is proposed. It is shown that the hierarchy possesses the bi-Hamiltionian structures. Further, two integrable coupling systems for the hierarchy are constructed through enlarged Lax pair method.
Abstract：Starting from a discrete spectral problem, the corresponding hierarchy of nonlinear differential-difference equation is proposed. It is shown that the hierarchy possesses the bi-Hamiltionian structures. Further, two integrable coupling systems for the hierarchy are constructed through enlarged Lax pair method.
LUO Lin;FAN En-Gui. A Hierarchy of Differential-Difference Equations and Their Integrable Couplings[J]. 中国物理快报, 2007, 24(6): 1444-1447.
LUO Lin, FAN En-Gui. A Hierarchy of Differential-Difference Equations and Their Integrable Couplings. Chin. Phys. Lett., 2007, 24(6): 1444-1447.
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