The Hamiltonian Structures of <em>μ</em>-Equations Related to Periodic Peakons

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

Chin. Phys. Lett.

2013, Vol. 30

Issue (8): 080201 DOI: 10.1088/0256-307X/30/8/080201

GENERAL

The Hamiltonian Structures of μ-Equations Related to Periodic Peakons

FU Wei^**, ZHANG Da-Jun

Department of Mathematics, Shanghai University, Shanghai 200444

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FU Wei, ZHANG Da-Jun 2013 Chin. Phys. Lett. 30 080201

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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 ?_x μ??³_x, and the inner product used to define the Jacobi identity of the Hamiltonian operators is defined on the unit circle S¹.

Received: 17 April 2013 Published: 21 November 2013

PACS:

02.30.Ik

(Integrable systems)

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https://cpl.iphy.ac.cn/10.1088/0256-307X/30/8/080201 OR https://cpl.iphy.ac.cn/Y2013/V30/I8/080201

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	FU Wei
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