Asymmetric gravity-capillary solitary waves on deep water

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

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19 Scopus citations

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 (US)
Pages (from-to)R2
JournalJournal of Fluid Mechanics
Volume759
DOIs
StatePublished - Nov 25 2014

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering
  • Applied Mathematics

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