Asymmetric gravity-capillary solitary waves on deep water

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

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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 languageEnglish
Article numberR2
JournalJournal of Fluid Mechanics
Volume759
Early online date3 Nov 2014
DOIs
Publication statusPublished - Nov 2014

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Keywords

  • Capillary waves
  • Solitary waves
  • Surface gravity waves

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