New Matrix Lie Algebra and Its Application
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A set of new matrix Lie algebra and its corresponding loop algebra are constructed. By making use of Tu scheme, a Liouville integrable multi-component hierarchy of soliton equation is generated. As its reduction cases, the multi-component Tu hierarchy is given. Finally, the multi-component integrable coupling system of Tu hierarchy is presented through enlarging matrix spectral problem.
KeywordsMatrix Lie algebra Liouville integrable system Hamiltonian structure Integrable couplings
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