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| The Bargmann Symmetry Constraint and Binary Nonlinearization of the Super Dirac Systems |
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Citation： |
Jing YU,Jingsong HE,Wenxiu MA,Yi CHENG.The Bargmann Symmetry Constraint and Binary Nonlinearization of the Super Dirac Systems[J].Chinese Annals of Mathematics B,2010,31(3):361~372 |
| Page view： 1803
Net amount： 1673 |
Authors： |
Jing YU; Jingsong HE; Wenxiu MA; Yi CHENG; |
Foundation： |
the Hangdian Foundation (No. KYS075608072), the National Natural Science
Foundation of China (Nos. 10671187, 10971109) and the Program for New Century Excellent Talents
in University of China (No. NCET-08-0515). |
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| Abstract： |
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 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： |
Symmetry constraints, Binary nonlinearization, Super Dirac systems,
Super finite-dimensional integrable Hamiltonian systems |
Classification： |
35Q51, 37J35, 37K10, 37K40 |
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