Asymmetric gravity-capillary solitary waves on deep water

Z. Wang, J. M. Vanden-Broeck, P. A. Milewski

OAI: oai:purehost.bath.ac.uk:openaire_cris_publications/f882dd2f-98c5-4ba8-9345-e4c1f1c4c006 • DOI: https://doi.org/10.1017/jfm.2014.567

We present new families of gravity - capillary solitary waves propagating on the surface of a two-dimensional deep fluid. These spatially localised travelling-wave solutions are non-symmetric in the wave propagation direction. Our computation reveals that these waves appear from a spontaneous symmetry-breaking bifurcation, and connect two branches of multi-packet symmetric solitary waves. The speed - energy bifurcation curve of asymmetric solitary waves features a zigzag behaviour with one or more turning points.

capillary waves solitary waves surface gravity waves