Journal of Nonlinear Science

, Volume 12, Issue 4, pp 415–422

Stability of the Camassa-Holm solitons

  • Constantin
  • Strauss
Article

DOI: 10.1007/s00332-002-0517-x

Cite this article as:
Constantin & Strauss J. Nonlinear Sci. (2002) 12: 415. doi:10.1007/s00332-002-0517-x

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.

AMS Classification. 35Q35, 35Q51

Copyright information

© Springer-Verlag New York Inc. 2002

Authors and Affiliations

  • Constantin
    • 1
  • Strauss
    • 2
  1. 1.Department of Mathematics, Lund University, P.O. Box 118, S-22100, Lund, Sweden e-mail: adrian.constantin@math.lu.seSE
  2. 2.Department of Mathematics and Lefschetz Center for Dynamical Systems, Brown University, Providence, RI 02912, U.S.A. e-mail: wstrauss@math.brown.eduUS