The bifurcation and secondary bifurcation of capillary-gravity waves

J. R. Toland, M. C. W. Jones

Research output: Contribution to journalArticle

Abstract

The bifurcation and secondary bifurcation of capillary-gravity waves is analyzed when the surface tension is close to or equal to a value where the eignespace of the critical phase speed has multiplicity two. The existence and multiplicity of solutions is seen, via the implicit function theorem, to be a special case of the secondary bifurcation phenomena, which occur when a double eigenvalue splits, under perturbation, into two simple eigenvalues in the presence of a symmetry in the problem.

Original languageEnglish
Pages (from-to)391-417
Number of pages27
JournalProceedings of The Royal Society of London, Series A: Mathematical and Physical Sciences
Volume399
Issue number1817
Publication statusPublished - 8 Jun 1985

ASJC Scopus subject areas

  • Mathematics(all)
  • Engineering(all)
  • Physics and Astronomy(all)

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