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Abstract and Applied Analysis
Volume 2014 (2014), Article ID 507540, 9 pages
http://dx.doi.org/10.1155/2014/507540
Research Article

Two-Component Super AKNS Equations and Their Finite-Dimensional Integrable Super Hamiltonian System

1School of Science, Hangzhou Dianzi University, Hangzhou, Zhejiang 310018, China
2School of Information Engineering, Hangzhou Dianzi University, Hangzhou, Zhejiang 310018, China

Received 29 December 2013; Accepted 4 March 2014; Published 31 March 2014

Academic Editor: Weiguo Rui

Copyright © 2014 Jing Yu and Jingwei Han. 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

Starting from a matrix Lie superalgebra, two-component super AKNS system is constructed. By making use of monononlinearization technique of Lax pairs, we find that the obtained two-component super AKNS system is a finite-dimensional integrable super Hamiltonian system. And its Lax representation and -matrix are also given in this paper.