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

Published online by Cambridge University Press:  21 April 2006

J. A. Zufiria
J. A. Zufiria
Affiliation:
Applied Mathematics, California Institute of Technology, Pasadena, CA 91125, USA
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Abstract

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.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 180 , July 1987 , pp. 371 - 385
Copyright
© 1987 Cambridge University Press

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