Acta mathematica scientia,Series A ›› 2014, Vol. 34 ›› Issue (5): 1287-1295.

• Articles • Previous Articles     Next Articles

The Bargmann Symmetry Constraint and Binary Nonlinearization of the Super Li System

 ZHANG Ling, ZHU Hong-Ling   

  1. Department of Mathematics, Chuzhou University, Anhui Chuzhou 239012
  • Received:2013-03-11 Revised:2013-11-28 Online:2014-10-25 Published:2014-10-25
  • Supported by:

    安徽省高校省级优秀青年人才基金重点项目(2013SQRL092ZD)、安徽省自然科学基金(1408085QA06)和滁州学院优秀青年人才基金(2013RC001)资助

Abstract:

An explicit Bargmann symmetry constraint and the binary nonlinearization of Lax pairs for the super Li hierarchy are established. Under the symmetry constraint, the n-th  flow of  the super Li hierarchy is decomposed into two super finite-dimensional integrable Hamilton systems over the supersymmetric manifold.

Key words: Bargmann symmetry constraint, Binary nonlinearization, Finite-dimensional integrable Hamilton systems

CLC Number: 

  • 35Q51
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