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 language | English |
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| Pages (from-to) | 391-417 |
| Number of pages | 27 |
| Journal | Proceedings of The Royal Society of London, Series A: Mathematical and Physical Sciences |
| Volume | 399 |
| Issue number | 1817 |
| Publication status | Published - 8 Jun 1985 |
ASJC Scopus subject areas
- General Mathematics
- General Engineering
- General Physics and Astronomy