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

Eliezer Kit; Lev Shemer

doi:10.1017/s0022112001006498

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

Eliezer Kit^*, Lev Shemer

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

56 Scopus citations

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.

Original language	English
Pages (from-to)	201-205
Number of pages	5
Journal	Journal of Fluid Mechanics
Volume	450
DOIs	https://doi.org/10.1017/s0022112001006498
State	Published - 10 Jan 2002

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title = "Spatial versions of the Zakharov and Dysthe evolution equations for deep-water gravity waves",

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.",

author = "Eliezer Kit and Lev Shemer",

year = "2002",

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doi = "10.1017/s0022112001006498",

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AU - Shemer, Lev

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N2 - 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.

AB - 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.

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

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