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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
Affiliation: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 InformationEngineering University, Zhengzhou 450004, China
Abstract:
A new and efficient way is presented for discrete integrablecouplings with the help of two semi-direct sum Lie algebras. As itsapplications, two discrete integrable couplings associated with thelattice equation are worked out. The approach can be used to studyother discrete integrable couplings of the discrete hierarchies ofsolition equations.
Keywords:integrable lattice   Lie algebra   integrable couplings
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