New Matrix Loop Algebra and Its Application |
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| Authors: | DONG Huan-He and XU Yue-Cai |
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| Institution: | 1. College of Information Science and Engineering, Shandong
University of Science and Technology, Qingdao 266510, China
;2. College of Continuing Education, Shangdong University of Science and Technology, Taian 271000, China |
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| Abstract: | A new matrix Lie algebra and its corresponding Loop algebra are constructed firstly, as its application, the multi-component TC equation hierarchy is obtained, then by use of trace identity the Hamiltonian structure of the above system is
presented. Finally, the integrable couplings of the obtained system
is worked out by the expanding matrix Loop algebra. |
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| Keywords: | matrix loop algebra Liouville integrable system Hamiltonian structure integrable couplings |
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