The Hamiltonian Structures of μ-Equations Related to Periodic Peakons

作     者：FU Wei ZHANG Da-Jun 傅蔚;张大军

作者机构：Department of MathematicsShanghai UniversityShanghai 200444 

出 版 物：《Chinese Physics Letters》 (中国物理快报（英文版）)

年 卷 期：2013年第30卷第8期

页      面：1-3页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：Supported by the National Natural Science Foundation of China under No 11071157 the Project of“The First-class Discipline of Universities in Shanghai”,and the SRF of the DPHE of China(No 20113108110002) 

主　　题：equation. Hamiltonian equation 

摘      要：The hierarchies of the μ-Camassa–Holm,two-component μ-Camassa–Holm and μ-modified Camassa–Holm equations are constructed from bi-Hamiltonian structures of the Korteweg-de Vries equation,the Ito equation and the modified Korteweg-de Vries *** key Hamiltonian operator that includes μ is ■χμ−■^(3)χ,and the inner product used to define the Jacobi identity of the Hamiltonian operators is defined on the unit circle S^(1).