The Bargmann Symmetry Constraint and Binary Nonlinearization of the Super Dirac Systems

作     者：Jing YU Jingsong HE Wenxiu MA Yi CHENG Jing YU Jingsong HE Wenxiu MA Yi CHENG School of Science, Hangzhou Dianzi University, Hangzhou 310018, China;Department of Mathematics, University of Science and Technology of China, Hefei 230026, China;Department of Mathematics, Ningbo University, Ningbo 315211, Zhejiang, China.Department of Mathematics and Statistics, University of South Florida, Florida 33620-5700, USA.

作者机构：School of Science Hangzhou Dianzi University Hangzhou 310018 China Department of Mathematics University of Science and Technology of China Hefei 230026 China Department of Mathematics University of Science and Technology of China Hefei 230026 China Department of Mathematics Ningbo University Ningbo 315211 Zhejiang China. Department of Mathematics and Statistics University of South Florida Florida 33620-5700 USA. 

出 版 物：《Chinese Annals of Mathematics,Series B》 (数学年刊（B辑英文版）)

年 卷 期：2010年第31卷第3期

页      面：361-372页

核心收录：

学科分类：0711[理学-系统科学] 07[理学] 08[工学] 070104[理学-应用数学] 081101[工学-控制理论与控制工程] 0811[工学-控制科学与工程] 0701[理学-数学] 071102[理学-系统分析与集成] 081103[工学-系统工程] 

基　　金：Project supported by the Hangdian Foundation (No. KYS075608072) the National Natural Science Foundation of China (Nos. 10671187, 10971109) the Program for New Century Excellent Talents in University of China (No. NCET-08-0515) 

主　　题：Symmetry constraints Binary nonlinearization Super Dirac systems Super finite-dimensional integrable Hamiltonian systems 

摘      要：An explicit Bargmann symmetry constraint is computed and its associated binary nonlinearization 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-diinensional integrable Hamiltonian systems, defined over the super- symmetry manifold R^4N{2N with the corresponding dynamical variables x and tn. The integrals of motion required for Liouville integrability are explicitly given.