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The Bargmann symmetry constraint and binary nonlinearization of the super Dirac systems
He Jinsong 1 * #,Yu Jing 1,Ma Wenxiu 2,Cheng Yi 1
1.Department of Mathematics, University of Science and Technology
2.Department of Mathematics and Statistics, University of South Florida
*Correspondence author
#Submitted by
Subject:
Funding: 国家自然科学基金,教育部博士点基金（No.10671187,）
Opened online: 9 April 2008
Accepted by: none
Citation: He Jinsong ,Yu Jing ,Ma Wenxiu .The Bargmann symmetry constraint and binary nonlinearization of the super Dirac systems [OL]. [ 9 April 2008] http://en.paper.edu.cn/en_releasepaper/content/20237
 
 
An explicit Bargmann symmetry constraint is computed and its associated binary by onlinearization of Lax pairs is carried out for the super Dirac systems. Under the obtained symmetry constraint, the n-th flow of the super Dirac hierarchy is decomposed into two super finite-dimensional integrable Hamiltonian systems, defined over the supersymmetry manifold $R^{4N|2N}$ with the corresponding dynamical variables $x$ and $t_n$. The integrals of motion required for Liouville integrability are explicitly given.
Keywords:super Dirac systems, nonlinearization, super finite-dimensional integrable Hamiltonian systems
 
 
 

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