Convergence of solitary-wave solutions in a perturbed bi-Hamiltonian dynamical system I. Compactons and peakons

Y. A. Li, P. J. Olver

Research output: Contribution to journalArticlepeer-review

89 Scopus citations

Abstract

We investigate how the non-analytic solitary wave solutions - peakons and compactons - of an integrable biHamiltonian system arising in fluid mechanics, can be recovered as limits of classical solitary wave solutions forming analytic homoclinic orbits for the reduced dynamical system. This phenomenon is examined to understand the important effect of linear dispersion terms on the analyticity of such homoclinic orbits.

Original languageEnglish (US)
Pages (from-to)419-432
Number of pages14
JournalDiscrete and Continuous Dynamical Systems
Volume3
Issue number3
StatePublished - Dec 1 1997

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