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