The Bargmann symmetry constraint and binary nonlinearization of the super Dirac systems

被引：0
作者：
Jing Yu
Jingsong He
Wenxiu Ma
Yi Cheng
机构：
[1] Hangzhou Dianzi University,School of Science
[2] University of Science and Technology of China,Department of Mathematics
[3] Ningbo University,Department of Mathematics
[4] University of South Florida,Department of Mathematics and Statistics
来源：
Chinese Annals of Mathematics, Series B | 2010年 / 31卷
关键词：
Symmetry constraints; Binary nonlinearization; Super Dirac systems; Super finite-dimensional integrable Hamiltonian systems; 35Q51; 37J35; 37K10; 37K40;
D O I：
暂无
中图分类号：
学科分类号：
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-dimensional integrable Hamiltonian systems, defined over the super-symmetry manifold R4N|2N with the corresponding dynamical variables x and tn. The integrals of motion required for Liouville integrability are explicitly given.
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页码：361 / 372
页数：11
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