Vanden-Broeck, J-M;
(2017)
New families of pure gravity waves in water of infinite depth.
Wave Motion
, 72
pp. 133-141.
10.1016/j.wavemoti.2017.02.001.
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Abstract
Nonlinear periodic gravity waves propagating at a constant velocity at the surface of a fluid of infinite depth are considered. The fluid is assumed to be inviscid and incompressible and the flow to be irrotational. It is known that there are both regular waves (for which all the crests are at the same height) and irregular waves (for which not all the crests are at the same height). We show numerically the existence of new branches of irregular waves which bifurcate from the branch of regular waves. Our results suggest there are an infinite number of such branches. In addition we found additional new branches of irregular waves which bifurcate from the previously calculated branches of irregular waves.
| Type: | Article |
|---|---|
| Title: | New families of pure gravity waves in water of infinite depth |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1016/j.wavemoti.2017.02.001 |
| Publisher version: | http://doi.org/10.1016/j.wavemoti.2017.02.001 |
| Language: | English |
| Additional information: | This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions. |
| Keywords: | Nonlinear gravity waves, Bifurcations |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices 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/1553236 |
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