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  • Journal of Fluid Mechanics, Volume 450
  • January 2002, pp. 201-205

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

  • ELIEZER KIT (a1) and LEV SHEMER (a1)
  • DOI: http://dx.doi.org/10.1017/S0022112001006498
  • Published online: 01 January 2002
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.

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Journal of Fluid Mechanics
  • ISSN: 0022-1120
  • EISSN: 1469-7645
  • URL: /core/journals/journal-of-fluid-mechanics
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