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Spatial versions of the Zakharov and Dysthe evolution equations for deep-water gravity waves

Published online by Cambridge University Press:  09 January 2002

ELIEZER KIT  and
LEV SHEMER
ELIEZER KIT
Affiliation:
Department of Fluid Mechanics and Heat Transfer, Faculty of Engineering, Tel-Aviv University, Tel-Aviv 69978, Israel
LEV SHEMER
Affiliation:
Department of Fluid Mechanics and Heat Transfer, Faculty of Engineering, Tel-Aviv University, Tel-Aviv 69978, Israel
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Abstract

A spatial two-dimensional version of the Zakharov equation describing the evolution of deep-water gravity waves is used to derive two fourth-order evolution equations, for the amplitudes of the surface elevation and of the velocity potential. The scaled form of the equations is presented.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 450 , 10 January 2002 , pp. 201 - 205
Copyright
© 2002 Cambridge University Press

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