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Long wavelength bifurcation of gravity waves on deep water

Published online by Cambridge University Press:  19 April 2006

P. G. Saffman
P. G. Saffman
Affiliation:
Applied Mathematics, California Institute of Technology, Pasadena, California 91125
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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.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 101 , Issue 3 , 11 December 1980 , pp. 567 - 581
Copyright
© 1980 Cambridge University Press

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References

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