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The Hamiltonian Structures of μ-Equations Related to Periodic Peakons

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【Author】 FU Wei;ZHANG Da-Jun;Department of Mathematics,Shanghai University;

【机构】 Department of Mathematics,Shanghai University；

【摘要】 The hierarchies of theμ-Camassa-Holm,two-componentμ-Camassa-Holm andμ-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 equation.The key Hamiltonian operator that includesμis(?)_xμ-(?)_x~3,and the inner product used to define the Jacobi identity of the Hamiltonian operators is defined on the unit circle S~1.更多还原

【Abstract】 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 modi&ed Korteweg-de Vries equation.The key Hamiltonian operator that includes μ- is(?)μ-(?)_x~3,and the inner product used to define the Jacobi identity of the Hamiltonian operators is defined on the unit circle S~1.更多还原

【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)

【文献出处】 Chinese Physics Letters ,中国物理快报(英文版) , 编辑部邮箱 ,2013年08期

【分类号】O175

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