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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| Institution: | 1. Department of Mathematics, Bohai University, Jinzhou 121000, China ;2. Department of Mathematics, Shanghai University, Shanghai 200436, China |
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| Abstract: | A new simple loop algebra $\tilde{G}_M$ 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 $\tilde{F}_M$ of the loop algebra
$\tilde{G}_M$ is presented. Based on $\tilde{F}_M$, 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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