New Simple Method for Obtaining Integrable Hierarchies of Soliton Equations with Multicomponent Potential Functions |
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Authors: | Fukui Guo Yufeng Zhang Qingyou Yan |
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Affiliation: | (1) School of Information Science and Engineering, Shandong University of Science and Technology, Taian, 271019, China;(2) School of Business Administration, North China Electric Power University, Beijing, 112206, China |
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Abstract: | A new simple method for obtaining integrable hierarchies of soliton equations is proposed. First of all, a new loop algebra is constructed, whose commutation operation is clear as that in loop algebra . Second, by making use of the Tu scheme, many of integrable hierarchies with multicomponent potential functions can be produced. As a specific application of our method, a multicomponent AKNS hierarchy is obtained. Finally, an expanding loop algebra of the loop algebra is constructed. Taking advantage of above, a type of integrable coupling system of the multicomponent AKNS hierarchy is worked out. |
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Keywords: | loop algebra multicomponent integrable hierarchy integrable coupling Tu scheme |
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