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

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 algebr...

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Bibliographic Details
Published in数学物理学报：B辑英文版 no. 2; pp. 537 - 545
Main Author 张玲 左达峰
Format Journal Article
LanguageEnglish
Published 2014
Subjects
KdV方程
loop代数
OSP
方程式
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ISSN0252-9602
1572-9087

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Summary: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）.
Bibliography:Super-bihamiltonian reduction; loop algebra of osp（1｜2）
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）.
Ling ZHANG （Department of Mathematics, Chuzhou University, Chuzhou 239012, China School of Mathematical Science, University of Science and Technology of China, Hefei 230026, China） Dafeng ZUO （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）
42-1227/O
ISSN:0252-9602
1572-9087