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Asymmetric gravity–capillary solitary waves on deep water

  • Z. Wang (a1) (a2), J.-M. Vanden-Broeck (a1) and P. A. Milewski (a2)

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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Corresponding author

Email address for correspondence: zhan.wang@ucl.ac.uk

References

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