A multi-component matrix loop algebra and the multi-component Kaup–Newell (KN) hierarchy,as well as its integrable coupling system |
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Institution: | School of Information Science and Engineering, Shandong University of Science and Technology, Qingdao Huangdao 266510, PR China |
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Abstract: | Construction of a type of multi-component matrix loop algebra is devoted to establishing an isospectral problem. By making use of Tu scheme, the integrable multi-component KN hierarchy of soliton equation is obtained. Further, the Hamiltonian structure of the Liouville integrable multi-component hierarchy is worked. Finally, an expanding loop algebra of the above algebra is presented, which is used to work out the multi-component integrable coupling system of the multi-component KN hierarchy that contains an arbitrary positive integer M. |
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