Published September 1987
| Published
Journal Article
Open
Non-symmetric gravity waves on water of infinite depth
- Creators
- Zufiria, Juan A.
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.
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.Attached Files
Published - ZUFjfm87b.pdf
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ZUFjfm87b.pdf
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Additional details
- Eprint ID
- 32008
- Resolver ID
- CaltechAUTHORS:20120621-111524823
- N00014-79-C-0412
- Office of Naval Research (ONR)
- NR062-639
- Office of Naval Research (ONR)
- OCE-8415988
- NSF
- Fulbright Foundation
- Created
-
2012-06-21Created from EPrint's datestamp field
- Updated
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2021-11-09Created from EPrint's last_modified field