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Stability of the Camassa-Holm solitons

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Summary.

We consider the stability problem of the solitary wave solutions of a completely integrable equation that arises as a model for the unidirectional propagation of shallow water waves. We prove that the solitary waves possess the spectral properties of solitons and that their shapes are stable under small disturbances.

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Authors and Affiliations

  1. Department of Mathematics, Lund University, P.O. Box 118, S-22100, Lund, Sweden e-mail: adrian.constantin@math.lu.se, SE

    Constantin

  2. Department of Mathematics and Lefschetz Center for Dynamical Systems, Brown University, Providence, RI 02912, U.S.A. e-mail: wstrauss@math.brown.edu, US

    Strauss

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  1. Constantin
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  2. Strauss
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Constantin, Strauss Stability of the Camassa-Holm solitons . J. Nonlinear Sci. 12, 415–422 (2002). https://doi.org/10.1007/s00332-002-0517-x

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  • DOI: https://doi.org/10.1007/s00332-002-0517-x

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