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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.
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⟩