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On Asymmetric generalized solitary gravity-capillary waves in finite depth

Gao, T; Wang, Z; Vanden-Broeck, J; (2016) On Asymmetric generalized solitary gravity-capillary waves in finite depth. Proceedings of the Royal Society A: Mathematical, Physical & Engineering Sciences , 472 (2194) , Article 20160454. 10.1098/rspa.2016.0454. Green open access

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Abstract

Generalized solitary waves propagating at the surface of a fluid of finite depth are considered. The fluid is assumed to be inviscid and incompressible and the flow to be irrotational. Both the effects of gravity and surface tension are included. It is shown that in addition to the classical symmetric waves, there are new asymmetric solutions. These new branches of solutions bifurcate from the branches of symmetric waves. The detailed bifurcation diagrams as well as typical wave profiles are presented.

Type: Article
Title: On Asymmetric generalized solitary gravity-capillary waves in finite depth
Open access status: An open access version is available from UCL Discovery
DOI: 10.1098/rspa.2016.0454
Publisher version: http://dx.doi.org/10.1098/rspa.2016.0454
Language: English
Additional information: Copyright © 2016 The Author(s). Published by the Royal Society. All rights reserved.
Keywords: generalized solitary waves, asymmetric waves, gravity–capillary 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/1522321
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