Communications in Theoretical Physics

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Multi-component C-KdV Hierarchy of Soliton Equations and Its Multi-component Integrable Coupling System

XIA Tie-Cheng,1,2 YU Fa-Jun,1,2 and CHEN Deng-Yuan2   


  1. 1 Department of Mathematics, Bohai University, Jinzhou 121000, China
    2 Department of Mathematics, Shanghai University, Shanghai 200436, China
  • Received: 2003-12-17 Revised: 2004-02-12 Published: 2004-10-15

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

PACS numbers: 

  • 02.30.Jr