1. Department of Mathematics, Chuzhou University, Chuzhou 239012, China;2. School of Mathematical Science, University of Science and Technology of China, Hefei 230026, China;3. School of Mathematical Science, University of Science and Technology of China, Hefei 230026, China;4. Wu Wen-Tsun Key Laboratory of Mathematics, USTC, Chinese Academy of Sciences, Hefei 230026, China
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).
