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Journal of Applied Mathematics
Volume 2014, Article ID 438741, 7 pages
Research Article

Nonlinear Super Integrable Couplings of Super Classical-Boussinesq Hierarchy

1Department of Mathematics, Zhoukou Normal University, Zhoukou 466000, China
2Department of Mathematics, Zhengzhou University, Zhengzhou 450052, China

Received 15 December 2013; Accepted 26 February 2014; Published 7 April 2014

Academic Editor: Chein-Shan Liu

Copyright © 2014 Xiuzhi Xing 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.


Nonlinear integrable couplings of super classical-Boussinesq hierarchy based upon an enlarged matrix Lie super algebra were constructed. Then, its super Hamiltonian structures were established by using super trace identity. As its reduction, nonlinear integrable couplings of the classical integrable hierarchy were obtained.