Vanden-Broeck, J;
(2014)
On periodic and solitary pure gravity waves in water of infinite depth.
Journal of Engineering Mathematics
, 84
(1)
pp. 173-180.
10.1007/s10665-013-9621-1.
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Abstract
Non-linear two-dimensional 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 irrotational. Gravity is taken into account, but surface tension is neglected. Accurate solutions are computed by boundary integral equation methods. Previous results on irregular waves are confirmed and extended. The computations strongly suggest the existence of non-periodic waves. These waves resemble generalised solitary waves in the sense that they are characterised by a train of oscillations in the far field.
| Type: | Article |
|---|---|
| Title: | On periodic and solitary pure gravity waves in water of infinite depth |
| DOI: | 10.1007/s10665-013-9621-1 |
| Publisher version: | http://dx.doi.org/10.1007/s10665-013-9621-1 |
| Language: | English |
| Additional information: | The final publication is available at Springer via http://dx.doi.org/10.1007/s10665-013-9621-1. |
| Keywords: | Non-linear gravity waves, Periodic waves, Solitary waves |
| 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/1396966 |
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