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-...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).展开更多
基金partially supported by"PCSIRT"the Fundamental Research Funds for the Central Universities(WK0010000024)+3 种基金NCET-13-0550SRF for ROCS,SEM and OATF,USTCNSFC(11271345,11371138)Natural Science Foundation of Anhui Province and Outstanding Young Talent Funds of Anhui Province(2013SQRL092ZD)
文摘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).