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On asymmetric generalized solitary gravity-capillary waves in finite depth

On asymmetric generalized solitary gravity-capillary waves in finite depth

Gao, T. ORCID: 0000-0002-6425-1568, Wang, Z. and Vanden-Broeck, J.-M. (2016) On asymmetric generalized solitary gravity-capillary waves in finite depth. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 472 (2194):20160454. ISSN 1364-5021 (Print), 1471-2946 (Online) (doi:https://doi.org/10.1098/rspa.2016.0454)

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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.

Item Type: Article
Uncontrolled Keywords: generalized solitary waves, asymmetric waves, gravity–capillary waves
Subjects: Q Science > QA Mathematics
Faculty / Department / Research Group: Faculty of Liberal Arts & Sciences
Faculty of Liberal Arts & Sciences > Department of Mathematical Sciences
Last Modified: 07 Nov 2019 12:02
Selected for GREAT 2016: None
Selected for GREAT 2017: None
Selected for GREAT 2018: None
Selected for GREAT 2019: None
URI: http://gala.gre.ac.uk/id/eprint/25957

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