Stability of the Camassa-Holm solitons
- Cite this article as:
- Constantin & Strauss J. Nonlinear Sci. (2002) 12: 415. doi:10.1007/s00332-002-0517-x
- 279 Views
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.