Acta mathematica scientia, Series B >
THE SUPER-BIHAMILTONIAN REDUCTION ON C∞(S1, OSP(1|2))
Received date: 2012-12-12
Revised date: 2013-05-21
Online 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).
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)
ZHANG Ling , ZUO Da-Feng . THE SUPER-BIHAMILTONIAN REDUCTION ON C∞(S1, OSP(1|2))[J]. Acta mathematica scientia, Series B, 2014 , 34(2) : 537 -545 . DOI: 10.1016/S0252-9602(14)60026-6
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