Abstract
Bifurcations of solitary capillary-gravity water waves are reviewed. A generalization to interfacial waves is provided. The case of solitary waves bifurcating at the minimum of the dispersion curve is chosen to illustrate the analysis, which makes use of tools of dynamical system theory. It is shown that there is a critical density ratio which strongly affects the type of solitary waves which may bifurcate. Depending on the density ratio, one can obtain “bright” solitary waves or “dark” solitary waves.
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