On the higher Poisson structures of the Camassa-Holm hierarchy

DOI10.1007/s10440-008-9188-4zbMath1165.37030OpenAlexW1998081330MaRDI QIDQ941626

Marco Pedroni, Giovanni Ortenzi, Vladimir Rubtsov

Publication date: 2 September 2008

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-008-9188-4

zbMATH Keywords

conservation lawssymmetriesCamassa-Holm equationbi-Hamiltonian structuresHamiltonian structuresrecursion hereditary operators

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53)

Related Items (max. 100)

On integrability of the Camassa-Holm equation and its invariants ⋮ Nonlocal integrable PDEs from hierarchies of symmetry laws: the example of Pohlmeyer-Lund-Regge equation and its reflectionless potential solutions

Cites Work

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• A simple model of the integrable Hamiltonian equation
• Geodesic flow on the Bott–Virasoro group and deformed Hunter–Saxton equation
• Generalized Fourier transform for the Camassa–Holm hierarchy
• On the local systems Hamiltonian in the weakly non-local Poisson brackets

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