Multi-component SC Lax Integrable Hierarchy of Soliton Equations and Its Multi-component Integrable Coupling System with Two Arbitrary Functions |
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| Authors: | XIA Tie-Cheng YU Fa-Jun CHEN Deng-Yuan ZHANG Yi |
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| Institution: | 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, Zhejiang Normal Univerisity, Jinhua 321004, China |
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| Abstract: | A new simple loop algebra GM is constructed, which is devoted to establishing an isospectral problem.By making use of generalized Tu scheme, the multi-component SC hierarchy is obtained. Furthermore, an expanding loop algebra FM of the loop algebra GM is presented. Based on FM, the multi-component integrable coupling system of the multi-component SC hierarchy of soliton equations is worked out. How to design isospectral problem of mulitcomponent hierarchy of soliton equations is a technique and interesting topic. The method can be applied to other nonlinear evolution equations hierarchy. |
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| Keywords: | loop algebra multi-component SC hierarchy multi-component integrable couplings system |
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