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Published July 1987 | Published
Journal Article Open

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

Zufiria, J. A.

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.

Additional Information

© 1987 Cambridge University Press. Received February 11 1986; Revised October 3 1986; Published Online April 21 2006. I am indebted to Professor P. G. Saffman for his encouragement and valuable advice during the course of this research. Conversations and communications with Dr MacKay have contributed greatly to this paper. I would like to thank Dr Doedel for his useful help in running the code AUTO. This work was supported by the Office of Naval Research (N00014-79-C-0412, NR062-639). I also wish to acknowledge receipt of a Fulbright award.

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