Journal of Applied Mathematics
Volume 2013 (2013), Article ID 913758, 6 pages
http://dx.doi.org/10.1155/2013/913758
Research Article

Self-Consistent Sources and Conservation Laws for a Super Broer-Kaup-Kupershmidt Equation Hierarchy

Hanyu Wei1,2 and Tiecheng Xia2

1Department of Mathematics and Information Science, Zhoukou Normal University, Zhoukou 466001, China
2Department of Mathematics, Shanghai University, Shanghai 200444, China

Received 14 February 2013; Accepted 2 June 2013

Academic Editor: Yongkun Li

Copyright © 2013 Hanyu Wei and Tiecheng Xia. 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.

Abstract

Based on the matrix Lie superalgebras and supertrace identity, the integrable super Broer-Kaup-Kupershmidt hierarchy with self-consistent sources is established. Furthermore, we establish the infinitely many conservation laws for the integrable super Broer-Kaup-Kupershmidt hierarchy. In the process of computation especially, Fermi variables also play an important role in super integrable systems.