Wang, Z;
Vanden-Broeck, J-M;
Milewski, PA;
(2014)
Asymmetric gravity-capillary solitary waves on deep water.
Journal of Fluid Mechanics
, 759
, Article R2. 10.1017/jfm.2014.567.
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Abstract
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.
| Type: | Article |
|---|---|
| Title: | Asymmetric gravity-capillary solitary waves on deep water |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1017/jfm.2014.567 |
| Publisher version: | http://dx.doi.org/10.1017/jfm.2014.567 |
| Language: | English |
| Additional information: | Copyright © 2014 Cambridge University Press. |
| Keywords: | capillary waves, solitary waves, surface gravity waves |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics |
| URI: | https://discovery.ucl.ac.uk/id/eprint/1477288 |
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