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Abstract and Applied Analysis
Volume 2014, Article ID 295068, 6 pages
Research Article

The Semidirect Sum of Lie Algebras and Its Applications to C-KdV Hierarchy

1Department of Mathematics, Shenyang Normal University, Shenyang 110034, China
2Department of Mathematics, Shanghai University, Shanghai 200444, China

Received 18 January 2014; Accepted 8 May 2014; Published 27 May 2014

Academic Editor: Yufeng Zhang

Copyright © 2014 Xia Dong et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


By use of the loop algebra , integrable coupling of C-KdV hierarchy and its bi-Hamiltonian structures are obtained by Tu scheme and the quadratic-form identity. The method can be used to produce the integrable coupling and its Hamiltonian structures to the other integrable systems.