Solitary waves in the critical surface-tension model

Brian T N Gunney, Y. I A Li, Peter J. Olver

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

Abstract

This paper studies the properties of solitary-wave solutions of a particular fifth-order evolution equation that models water waves with surface tension. Existence and nonexistence results are surveyed and strengthened. An accurate numerical code is devised and used to show the small dispersive effects of solitary-wave collisions.

Original languageEnglish (US)
Pages (from-to)99-112
Number of pages14
JournalJournal of Engineering Mathematics
Volume36
Issue number1-2
DOIs
StatePublished - 1999

Keywords

  • Boussinesq expansion
  • Korteweg-devries equation
  • Solitary wave
  • Surface tension
  • Water wave

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