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On a uniformly valid model for surface wave interaction

Published online by Cambridge University Press:  26 April 2006

Yehuda Agnon
Yehuda Agnon
Affiliation:
Coastal and Marine Engineering Research Institute, Department of Civil Engineering, Technion, Haifa. 32000, Israel
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Abstract

Nonlinear interaction of surface wave trains is studied. Zakharov's kernel is extended to include the vicinity of trio resonance. The forced wave amplitude and the wave velocity changes are then first order rather than second order. The model is applied to remove near-resonance singularities in expressions for the change of speed of one wave train in the presence of another. New results for Wilton ripples and the drift current and setdown in shallow water waves are readily derived. The ideas are applied to the derivation of forced waves in the vicinity of quartet and quintet resonance in an evolving wave field.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 247 , February 1993 , pp. 589 - 601
Copyright
© 1993 Cambridge University Press

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