The Liouville integrable coupling system of the m-AKNS hierarchy and its Hamiltonian structure |
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| Authors: | Yue Chao Yang Geng-Wen and Xu Yue-Cai |
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| Institution: | School of Information Engineering, Taishan Medical University, Taian 271016, China; Editorial Department of Journal of Luoyang University, Luoyang 471023, China; School of Adult Education, Shandong University of Science and Technology, Taian 271000, China |
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| Abstract: | In this paper a type of 9-dimensional vector loop algebra \tilde{F}
is constructed, which is devoted to establish an isospectral problem.
It follows that a Liouville integrable coupling system of the m-AKNS
hierarchy is obtained by employing the Tu scheme, whose Hamiltonian
structure is worked out by making use of constructed quadratic
identity. The method given in the paper can be used to obtain many
other integrable couplings and their Hamiltonian structures. |
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| Keywords: | loop algebra integrable
coupling Hamiltonian structure quadratic identity |
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