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Poisson Structure and Action-Angle Variables for the Camassa–Holm Equation

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Abstract

The Poisson brackets for the scattering data of the Camassa-Holm equation are computed. Consequently, the action-angle variables are expressed in terms of the scattering data.

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Authors and Affiliations

  1. School of Mathematics, Trinity College, Dublin 2, Ireland

    Adrian Constantin & Rossen Ivanov

  2. Institute for Nuclear Research and Nuclear Energy, Bulgarian Academy of Sciences, Sofia, Bulgaria

    Rossen Ivanov

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  1. Adrian Constantin
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  2. Rossen Ivanov
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Correspondence to Adrian Constantin.

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Constantin, A., Ivanov, R. Poisson Structure and Action-Angle Variables for the Camassa–Holm Equation. Lett Math Phys 76, 93–108 (2006). https://doi.org/10.1007/s11005-006-0063-9

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  • DOI: https://doi.org/10.1007/s11005-006-0063-9

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