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On the Higher Poisson Structures of the Camassa–Holm Hierarchy

Giovanni Ortenzi Marco Pedroni Vladimir Roubtsov 1
1 LAREMA - Laboratoire Angevin de Recherche en Mathématiques
Abstract :

We find a generating series for the higher Poisson structures of the nonlocal Camassa–Holm hierarchy, following the method used by Enriques, Orlov, and third author for the KdV case.

Keywords : Bi-Hamiltonian approach Camassa–Holm equation Computer Science general Conservation laws Hamiltonian structures Integrability Mathematical and Computational Physics Mathematics Mechanics Recursion operators Statistical Physics Symmetries Symplectic structures
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https://hal.archives-ouvertes.fr/hal-01388868
Contributor : Okina Université d'Angers <>
Submitted on : Thursday, October 27, 2016 - 4:06:36 PM
Last modification on : Monday, March 9, 2020 - 6:15:59 PM

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Giovanni Ortenzi, Marco Pedroni, Vladimir Roubtsov. On the Higher Poisson Structures of the Camassa–Holm Hierarchy. Acta Applicandae Mathematicae, Springer Verlag, 2008, 101 (1-3), pp.243 - 254. ⟨10.1007/s10440-008-9188-4⟩. ⟨hal-01388868⟩

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