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On modifications of the Zakharov equation for surface gravity waves

Published online by Cambridge University Press:  20 April 2006

Michael Stiassnie  and
Lev Shemer
Michael Stiassnie
Affiliation:
Department of Civil Engineering, Massachusetts Institute of Technology Permanent address: Technion, Israel Institute of Technology, Haifa 32000, Israel.
Lev Shemer
Affiliation:
Department of Aeronautics and Astronautics, Massachusetts Institute of Technology
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Abstract

The Zakharov integral equation for surface gravity waves is modified to include higher-order (quintet) interactions, for water of constant (finite or infinite) depth. This new equation is used to study some aspects of class I (4-wave) and class II (5-wave) instabilities of a Stokes wave.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 143 , June 1984 , pp. 47 - 67
Copyright
© 1984 Cambridge University Press

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