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Abstract and Applied Analysis
Volume 2014, Article ID 214709, 7 pages
http://dx.doi.org/10.1155/2014/214709
Research Article

Super-Hamiltonian Structures and Conservation Laws of a New Six-Component Super-Ablowitz-Kaup-Newell-Segur Hierarchy

1Department of Basic Sciences, Shenyang Institute of Engineering, Shenyang 110136, China
2College of New Energy, Shenyang Institute of Engineering, Shenyang 110136, China

Received 11 June 2014; Accepted 28 July 2014; Published 20 August 2014

Academic Editor: Huanhe Dong

Copyright © 2014 Fucai You 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.

Abstract

A six-component super-Ablowitz-Kaup-Newell-Segur (-AKNS) hierarchy is proposed by the zero curvature equation associated with Lie superalgebras. Supertrace identity is used to furnish the super-Hamiltonian structures for the resulting nonlinear superintegrable hierarchy. Furthermore, we derive the infinite conservation laws of the first two nonlinear super-AKNS equations in the hierarchy by utilizing spectral parameter expansions. PACS: 02.30.Ik; 02.30.Jr; 02.20.Sv.