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On the Higher Poisson Structures of the Camassa–Holm Hierarchy

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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.

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Authors and Affiliations

  1. Dipartimento di Fisica Nucleare e Teorica, Università di Pavia, Via A. Bassi 6, 27100, Pavia, Italy

    Giovanni Ortenzi

  2. Dipartimento di Ingegneria dell’Informazione e Metodi Matematici, Università di Bergamo, Viale Marconi 5, 24044, Dalmine, BG, Italy

    Marco Pedroni

  3. LAREMA, UMR 6093 du CNRS, Département de Mathématiques UFR Sciences, Université d’Angers, 2, Bd. Lavoisier, 49045, Angers Cedex 01, France

    Vladimir Rubtsov

  4. Mathematical Physics Group, Theory Division ITEP, 25, Bol. Tcheremushkinskaya, 117259, Moscow, Russia

    Vladimir Rubtsov

  5. I.N.F.N. Sezione di Pavia, Pavia, Italy

    Giovanni Ortenzi

Authors
  1. Giovanni Ortenzi
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  2. Marco Pedroni
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  3. Vladimir Rubtsov
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Correspondence to Vladimir Rubtsov.

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Ortenzi, G., Pedroni, M. & Rubtsov, V. On the Higher Poisson Structures of the Camassa–Holm Hierarchy. Acta Appl Math 101, 243–254 (2008). https://doi.org/10.1007/s10440-008-9188-4

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  • DOI: https://doi.org/10.1007/s10440-008-9188-4

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