New Matrix Lie Algebra and Its Application |
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| Authors: | Ling Li Huanhe Dong |
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| Institution: | (1) College of Information Science and Engineering, Shandong University of Science and Technology, Qingdao, 266510, China |
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| Abstract: | 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. |
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| Keywords: | Matrix Lie algebra Liouville integrable system Hamiltonian structure Integrable couplings |
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