Asymmetric gravity-capillary solitary waves on deep water

Z. Wang; J. M. Vanden-Broeck; P. A. Milewski

doi:10.1017/jfm.2014.567

Asymmetric gravity-capillary solitary waves on deep water

Z. Wang, J. M. Vanden-Broeck, P. A. Milewski

Department of Mathematical Sciences

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Abstract

We present new families of gravity - capillary solitary waves propagating on the surface of a two-dimensional deep fluid. These spatially localised travelling-wave solutions are non-symmetric in the wave propagation direction. Our computation reveals that these waves appear from a spontaneous symmetry-breaking bifurcation, and connect two branches of multi-packet symmetric solitary waves. The speed - energy bifurcation curve of asymmetric solitary waves features a zigzag behaviour with one or more turning points.

Original language	English
Article number	R2
Journal	Journal of Fluid Mechanics
Volume	759
Early online date	3 Nov 2014
DOIs	https://doi.org/10.1017/jfm.2014.567
Publication status	Published - Nov 2014

Keywords

Capillary waves
Solitary waves
Surface gravity waves

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10.1017/jfm.2014.567

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abstract = "We present new families of gravity - capillary solitary waves propagating on the surface of a two-dimensional deep fluid. These spatially localised travelling-wave solutions are non-symmetric in the wave propagation direction. Our computation reveals that these waves appear from a spontaneous symmetry-breaking bifurcation, and connect two branches of multi-packet symmetric solitary waves. The speed - energy bifurcation curve of asymmetric solitary waves features a zigzag behaviour with one or more turning points.",

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AU - Milewski, P. A.

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AB - We present new families of gravity - capillary solitary waves propagating on the surface of a two-dimensional deep fluid. These spatially localised travelling-wave solutions are non-symmetric in the wave propagation direction. Our computation reveals that these waves appear from a spontaneous symmetry-breaking bifurcation, and connect two branches of multi-packet symmetric solitary waves. The speed - energy bifurcation curve of asymmetric solitary waves features a zigzag behaviour with one or more turning points.

KW - Capillary waves

KW - Solitary waves

KW - Surface gravity waves

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Asymmetric gravity-capillary solitary waves on deep water

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Keywords

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