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.
|Number of pages||27|
|Journal||Proceedings of The Royal Society of London, Series A: Mathematical and Physical Sciences|
|Publication status||Published - 8 Jun 1985|
ASJC Scopus subject areas
- Physics and Astronomy(all)