Zufiria, J. A. (1987) Weakly nonlinear non-symmetric gravity waves on water of finite depth. Journal of Fluid Mechanics, 180 . pp. 371-385. ISSN 0022-1120. doi:10.1017/S002211208700185X. https://resolver.caltech.edu/CaltechAUTHORS:20120621-112418799
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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.
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| 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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| DOI: | 10.1017/S002211208700185X | |||||||||
| Record Number: | CaltechAUTHORS:20120621-112418799 | |||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20120621-112418799 | |||||||||
| Official Citation: | J. A. Zufiria (1987). Weakly nonlinear non-symmetric gravity waves on water of finite depth. Journal of Fluid Mechanics, 180 , pp 371-385 doi:10.1017/S002211208700185X | |||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | |||||||||
| ID Code: | 32009 | |||||||||
| Collection: | CaltechAUTHORS | |||||||||
| Deposited By: | INVALID USER | |||||||||
| Deposited On: | 21 Jun 2012 18:51 | |||||||||
| Last Modified: | 09 Nov 2021 20:03 |
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