Stability of the Camassa-Holm solitons

Adrian Constantin, WA Strauss

Research output: Contribution to journalArticlepeer-review

262 Citations (SciVal)

Abstract

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.
Original languageEnglish
Pages (from-to)415-422
JournalJournal of Nonlinear Science
Volume12
Issue number4
DOIs
Publication statusPublished - 2002

Subject classification (UKÄ)

  • Mathematics

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