Acta mathematica scientia,Series A

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A Hierarchy of Discrete Generalized Hamiltonian Systems and a New Integrable Symplectic Map

XU Xi-Xiang, WANG Shi-Fan   

  1. 山东科技大学基础部 泰安 271019
  • Online:2003-06-25 Published:2003-06-25
  • Supported by:

    山东省优秀中青年科学家科研奖励基金的资助

Abstract:

A new discrete eigenvalue  problem is discussed, the corresponding isospectra l hierarchy of discrete Hamiltonian system is presented. It is shown that this h ierarchy are all integrable in Liouville  sense. A new integrable symplectic map  is derived by means of nonlinearization of the eigenvalue problem.

Key words: Hamiltonian System, Integrable System, Nonlinearization, Symplectic Map

CLC Number: 

  • 35Q51
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