Multi-component C-KdV Hierarchy of Soliton Equations and Its Multi-component Integrable Coupling System |
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| Authors: | XIA Tie-Cheng YU Fa-Jun CHEN Deng-Yuan |
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| Affiliation: | Department of Mathematics, Bohai University, Jinzhou 121000, China;Department of Mathematics, Shanghai University, Shanghai 200436, China Department of Mathematics, Bohai University, Jinzhou 121000, China;Department of Mathematics, Shanghai University, Shanghai 200436, China Department of Mathematics, Shanghai University, Shanghai 200436, China |
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| Abstract: | A new simple loop algebra G M is constructed, which is devoted to establishing an isospectral problem. By making use of Tu scheme, the multi-component C-KdV hierarchy is obtained. Further, an expanding loop algebra FM of the loop algebra G M is presented. Based on FM , the multi-component integrable coupling system of the multi-component C-KdV hierarchy is worked out. The method can be used to other nonlinear evolution equations hierarchy. |
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| Keywords: | C-KdV hierarchy integrable coupling loop algebra |
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