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

Research output: Contribution to journalArticlepeer-review

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 languageEnglish
Pages (from-to)201-205
Number of pages5
JournalJournal of Fluid Mechanics
Volume450
DOIs
StatePublished - 10 Jan 2002

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