Compact equation for gravity waves on deep water

A. I. Dyachenko, Vladimir E Zakharov

Research output: Contribution to journalArticle

27 Citations (Scopus)

Abstract

Using the fact of vanishing four waves interaction for water gravity waves for 2D potential fluid, we have significantly simplified the well-known but cumbersome Zakharov equation. The Hamiltonian of the obtained equation is very simple and includes only the fourth order nonlinear term. It raises the question of the integrability of free surface hydrodynamics. This new equation is very suitable both for analytic study and for numerical simulation.

Original languageEnglish (US)
Pages (from-to)701-705
Number of pages5
JournalJETP Letters
Volume93
Issue number12
DOIs
StatePublished - Aug 2011

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deep water
gravity waves
wave interaction
hydrodynamics
fluids
water
simulation

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)

Cite this

Compact equation for gravity waves on deep water. / Dyachenko, A. I.; Zakharov, Vladimir E.

In: JETP Letters, Vol. 93, No. 12, 08.2011, p. 701-705.

Research output: Contribution to journalArticle

Dyachenko, A. I. ; Zakharov, Vladimir E. / Compact equation for gravity waves on deep water. In: JETP Letters. 2011 ; Vol. 93, No. 12. pp. 701-705.
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