,A Hierarchy of Differential-Difference Equations and Their Integrable Couplings

• 作 者: LUO Lin FAN En-Gui
• 机 构: School of Mathematics, Fudan University, Shanghai 200433“,” Department of Mathematics, Xiaogan Unive
• 出 处: 中国物理快报（英文版）
• 发表日期: 2007年6期

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.