Non-symmetric gravity waves on water of infinite depth

Zufiria, Juan A. (1987) Non-symmetric gravity waves on water of infinite depth. Journal of Fluid Mechanics, 181 . pp. 17-39. ISSN 0022-1120. doi:10.1017/S002211208700199X. https://resolver.caltech.edu/CaltechAUTHORS:20120621-111524823

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Abstract

Two different numerical methods are used to demonstrate the existence of and calculate non-symmetric gravity waves on deep water. It is found that they appear via spontaneous symmetry-breaking bifurcations from symmetric waves. The structure of the bifurcation tree is the same as the one found by Zufiria (1987) for waves on water of finite depth using a weakly nonlinear Hamiltonian model. One of the methods is based on the quadratic relations between the Stokes coefficients discovered by Longuet-Higgins (1978a). The other method is a new one based on the Hamiltonian structure of the water-wave problem.

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URL	URL Type	Description
http://dx.doi.org/10.1017/S002211208700199X	DOI	UNSPECIFIED
http://journals.cambridge.org/abstract_S002211208700199X	Publisher	UNSPECIFIED

Additional Information:

© 1987 Cambridge University Press. Received August 13 1986; Published January 1 1987; Published Online April 21 2006. I am indebted to Professor P. G. Saffman for his encouragement and valuable advice during the course of the research. This work was supported by the Office of Naval Research (N00014-79-C-0412,N R062-639) and by the National Science Foundation (OCE-8415988). I also wish to acknowledge receipt of a Fulbright award.

Funders:

Funding Agency	Grant Number
Office of Naval Research (ONR)	N00014-79-C-0412
Office of Naval Research (ONR)	NR062-639
NSF	OCE-8415988
Fulbright Foundation	UNSPECIFIED

DOI:

10.1017/S002211208700199X

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CaltechAUTHORS:20120621-111524823

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https://resolver.caltech.edu/CaltechAUTHORS:20120621-111524823

Official Citation:

Juan A. Zufiria (1987). Non-symmetric gravity waves on water of infinite depth. Journal of Fluid Mechanics, 181 , pp 17-39 doi:10.1017/S002211208700199X

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32008

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Deposited On:

21 Jun 2012 18:35

Last Modified:

09 Nov 2021 20:03

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