Vector Loop Algebra and Its Applications to Tu Hierarchy |
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Authors: | WANG Yan |
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Affiliation: | College of Information Science and Engineering, Shandong University of Science and Technology, Qingdao 266510, China;Department of Mathematics and Systems Science, Taishan University, Taian 271021, China |
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Abstract: | A vector loop algebra and its extended loop algebra are proposed, which are devoted to obtaining the Tu hierarchy. By making use of the extended trace identity, the Harniltonian structure of the Tu hierarchy is constructed. Furthermore, we apply the quadratic-form identity to the integrable coupling system of the Tu hierarchy. |
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Keywords: | vector loop algebra Hamiltonian structure quadratic identity |
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