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The multicomponent discrete equation hierarchy with variable spectral parameters and a new integrable coupling system
Authors:Fajun Yu  Li Li
Institution:a Department of Mathematics, Shenyang Normal University, Shenyang 110034, China
b Department of Mathematics, Dalian University of Technology, Dalian 116024, China
Abstract:This Letter reports on a study of the multicomponent discrete integrable equation hierarchy with variable spectral parameters. An instance of new multicomponent lattice equation is obtained. Correspondingly, a feasible way to construct the integrable couplings is presented. It indicates that the study of integrable couplings using the block matrix-form of Lie algebra is an important and effective method.
Keywords:Multicomponent  Soliton hierarchy  Integrable couplings  Block matrix-form
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