Acta mathematica scientia,Series A ›› 2021, Vol. 41 ›› Issue (2): 326-335.

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Second Order Recursion Operator Structure of Constant Coefficient Infinite Dimension Hamiltonian System

Wanpeng Geng,Wenxiu Ren*(),Yisu Cheng()   

  1. School of Sciences, Inner Mongolia University of Technology, Hohhot 010051
  • Received:2020-01-09 Online:2021-04-26 Published:2021-04-29
  • Contact: Wenxiu Ren E-mail:renwenxiu2003@hotmail.com;1070448132@qq.com

Abstract:

By virtue of limited and formal constant coefficient Hamiltonian operator, it applies the method of general system recursion operator to Hamiltonian canonical system of infinite dimensional form. As to the result, the general structure of the recursion operator allowed by the next-order constant coefficient Hamiltonian operator under constraint condition and specific form of its coefficient are obtained. And then, it verifies the correctness and convenience of the conclusion by means of calculating example.

Key words: Constant coefficient Hamiltonian operator, Infinite dimensional linear Hamiltonian canonical system, Recursion operator

CLC Number: 

  • O175
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