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Long wavelength bifurcation of gravity waves on deep water

Saffman, P. G. (1980) Long wavelength bifurcation of gravity waves on deep water. Journal of Fluid Mechanics, 101 (3). pp. 567-581. ISSN 0022-1120. http://resolver.caltech.edu/CaltechAUTHORS:SAFjfm80a

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Abstract

Conditions are found for the appearance of non-uniform progressive waves of permanent form from a long-wave modulation of a finite-amplitude Stokes wave on deep water. The waveheight at which the modulated waves can occur is a very slowly decreasing function of the modulation wavelength for values up to 150 times the original wavelength. Some qualitative remarks are made about the problem of determining the stability of the new waves.


Item Type:Article
Additional Information:Copyright © 1980 Cambridge University Press. Reprinted with permission. (Received 12 December 1979 and in revised form 24 April 1980) The computations were carried out on the CDC STAR 100 at the CDC Service Center, Minneapolis. The provision of time on the machine by Control Data Corporation is gratefully acknowledged. Dr H.C. Yuen is thanked for the benefit of many stimulating discussions. The research was supported by the Office of Naval Research.
Record Number:CaltechAUTHORS:SAFjfm80a
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:SAFjfm80a
Alternative URL:http://dx.doi.org/10.1017/S0022112080001802
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:10125
Collection:CaltechAUTHORS
Deposited By: Archive Administrator
Deposited On:14 Apr 2008
Last Modified:26 Dec 2012 09:57

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