Communications in Theoretical Physics
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XIA Tie-Cheng,1,2 YU Fa-Jun,1,2 and CHEN Deng-Yuan2
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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.
Key words: C-KdV hierarchy, integrable coupling, loop algebra
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XIA Tie-Cheng,, YU Fa-Jun,, and CHEN Deng-Yuan, Commun. Theor. Phys. 42 (2004) 494.
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https://ctp.itp.ac.cn/EN/Y2004/V42/I04/494
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