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

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. http://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.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1017/S002211208700185XDOIUNSPECIFIED
http://journals.cambridge.org/abstract_S002211208700185XPublisherUNSPECIFIED
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.
Funders:
Funding AgencyGrant Number
Office of Naval Research (ONR)N00014-79-C-0412
Office of Naval Research (ONR)NR062-639
Fulbright FoundationUNSPECIFIED
Record Number:CaltechAUTHORS:20120621-112418799
Persistent URL:http://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: Aucoeur Ngo
Deposited On:21 Jun 2012 18:51
Last Modified:26 Dec 2012 15:21

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