Journal of Fluid Mechanics

Weakly nonlinear non-symmetric gravity waves on water of finite depth

J. A.  Zufiria a1
a1 Applied Mathematics, California Institute of Technology, Pasadena, CA 91125, USA

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A weakly nonlinear Hamiltonian model for two-dimensional irrotational waves on water of finite depth is developed. The truncated model is used to study families of periodic travelling waves of permanent form. It is shown that non-symmetric periodic waves exist, which appear via spontaneous symmetry-breaking bifurcations from symmetric waves.

(Published Online April 21 2006)
(Received February 11 1986)
(Revised October 3 1986)