The hamiltonian structures of μ-equations related to periodic peakons

Fu Wei; Zhang Da-Jun; Wei Fu; Da Jun Zhang

doi:10.1088/0256-307X/30/8/080201

The hamiltonian structures of μ-equations related to periodic peakons

Fu Wei^*
, Zhang Da-Jun
, Wei Fu
, Da Jun Zhang

^*此作品的通讯作者

Shanghai University

科研成果: 期刊稿件 › 文章 › 同行评审

5 引用（Scopus）

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 equation. The key Hamiltonian operator that includes μ is ∂_xμ - ∂³x, and the inner product used to define the Jacobi identity of the Hamiltonian operators is defined on the unit circle S¹.

源语言	英语
文章编号	080201
期刊	Chinese Physics Letters
卷	30
期	8
DOI	https://doi.org/10.1088/0256-307X/30/8/080201
出版状态	已出版 - 8月 2013
已对外发布	是

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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 modified Korteweg-de Vries equation. The key Hamiltonian operator that includes μ is ∂xμ - ∂3x, and the inner product used to define the Jacobi identity of the Hamiltonian operators is defined on the unit circle S1.",

author = "Fu Wei and Zhang Da-Jun and Wei Fu and Zhang, \{Da Jun\}",

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N2 - 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 equation. The key Hamiltonian operator that includes μ is ∂xμ - ∂3x, and the inner product used to define the Jacobi identity of the Hamiltonian operators is defined on the unit circle S1.

AB - 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 equation. The key Hamiltonian operator that includes μ is ∂xμ - ∂3x, and the inner product used to define the Jacobi identity of the Hamiltonian operators is defined on the unit circle S1.

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The hamiltonian structures of μ-equations related to periodic peakons

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