A Multi-component Matrix Loop Algebra and Its Application |
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| Authors: | DONG Huan-He ZHANG Ning |
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| Institution: | Information School, Shandong University of Science and Technology, Qingdao 266510, China Information School, Shandong University of Science and Technology, Qingdao 266510, China |
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| Abstract: | A set of multi-component matrix Lie algebra is constructed. It follows that a type of new loop algebra AM-1 is presented. An isospectral problem is established. Integrable multi-component hierarchy is obtained by Tu pattern, which possesses tri-Hamiltonian structures. Furthermore, it can be reduced to the well-known AKNS hierarchy and BPT hierarchy. Therefore, the major result of this paper can be regarded as a unified expression integrable model of the AKNS hierarchy and the BPT hierarchy. |
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| Keywords: | Liouville integrable tri-Hamiltonian structures Loop algebra |
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