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A New Integrable Lattice Hierarchy and Its Two Discrete Integrable Couplings
Authors:DONG Huan-He SONG Ming WANG Xue-Lei LI Jian-Jun
Institution:1. College of Information Science and Engineering, Shandong University of Science and Technology, Qingdao 266510, China ;2. College of Information Science and Engineering, Shandong Agricultural University, Taian 271000, China ;3. Institute of Electronic Technology, PLA Information Engineering University, Zhengzhou 450004, China
Abstract:A new and efficient way is presented for discrete integrable couplings with the help of two semi-direct sum Lie algebras. As its applications, two discrete integrable couplings associated with the lattice equation are worked out. The approach can be used to study other discrete integrable couplings of the discrete hierarchies of solition equations.
Keywords:integrable lattice  Lie algebra  integrable couplings
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