数学物理学报(英文版) ›› 2014, Vol. 34 ›› Issue (2): 537-545.doi: 10.1016/S0252-9602(14)60026-6

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THE SUPER-BIHAMILTONIAN REDUCTION ON C∞(S1, OSP(1|2))

张玲|左达峰   

  1. Department of Mathematics, Chuzhou University, Chuzhou 239012, China;School of Mathematical Science, University of Science and Technology of China, Hefei 230026, China; School of Mathematical Science, University of Science and Technology of China, Hefei 230026, China;Wu Wen-Tsun Key Laboratory of Mathematics, USTC, Chinese Academy of Sciences
  • 收稿日期:2012-12-12 修回日期:2013-05-21 出版日期:2014-03-20 发布日期:2014-03-20
  • 基金资助:

    This work is partially supported by “PCSIRT”; the Fundamental Research Funds for the Central Universities (WK0010000024); NCET-13-0550; SRF for ROCS, SEM and OATF, USTC; NSFC (11271345, 11371138); Natural Science Foundation of Anhui Province and Outstanding Young Talent Funds of Anhui Province (2013SQRL092ZD).

THE SUPER-BIHAMILTONIAN REDUCTION ON C∞(S1, OSP(1|2))

 ZHANG Ling, ZUO Da-Feng   

  1. Department of Mathematics, Chuzhou University, Chuzhou 239012, China;School of Mathematical Science, University of Science and Technology of China, Hefei 230026, China; School of Mathematical Science, University of Science and Technology of China, Hefei 230026, China;Wu Wen-Tsun Key Laboratory of Mathematics, USTC, Chinese Academy of Sciences
  • Received:2012-12-12 Revised:2013-05-21 Online:2014-03-20 Published:2014-03-20
  • Supported by:

    This work is partially supported by “PCSIRT”; the Fundamental Research Funds for the Central Universities (WK0010000024); NCET-13-0550; SRF for ROCS, SEM and OATF, USTC; NSFC (11271345, 11371138); Natural Science Foundation of Anhui Province and Outstanding Young Talent Funds of Anhui Province (2013SQRL092ZD).

摘要:

In this article, we will show that the super-bihamiltonian structures of the Kuper-KdV equation in [3], the Kuper-CH equation in [17, 18] and the super-HS equation in [11, 16, 19] can be obtained by applying a super-bihamiltonian reduction of different super-Poisson pairs defined on the loop algebra of osp(1|2).

关键词: Super-bihamiltonian reduction, loop algebra of osp(1, 2)

Abstract:

In this article, we will show that the super-bihamiltonian structures of the Kuper-KdV equation in [3], the Kuper-CH equation in [17, 18] and the super-HS equation in [11, 16, 19] can be obtained by applying a super-bihamiltonian reduction of different super-Poisson pairs defined on the loop algebra of osp(1|2).

Key words: Super-bihamiltonian reduction, loop algebra of osp(1, 2)

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