Gao, T;
Milewski, P;
Vanden-Broeck, J-M;
(2019)
Hydroelastic solitary waves with constant vorticity.
Wave Motion
, 85
pp. 84-97.
10.1016/j.wavemoti.2018.11.005.
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Abstract
In this work, two-dimensional hydroelastic solitary waves in the presence of constant vorticity are studied. Time-dependent conformal mapping techniques first developed for irrotational waves are applied subject to appropriate modification. An illustrative high-order Nonlinear Schrödinger Equation is presented to investigate whether a given envelope collapses into a singular point in finite time by using the virial theory. Travelling solitary waves on water of infinite depth are computed for different values of vorticity and new generalised solitary waves are discovered. The stabilities of these waves are examined numerically by using fully nonlinear time-dependent computations which confirm the virial theory analysis.
| Type: | Article |
|---|---|
| Title: | Hydroelastic solitary waves with constant vorticity |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1016/j.wavemoti.2018.11.005 |
| Publisher version: | https://doi.org/10.1016/j.wavemoti.2018.11.005 |
| 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: | Surface gravity waves, Solitary waves, Elastic waves, Asymmetric 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/10071741 |
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