Compact equation for gravity waves on deep water

A. I. Dyachenko, V. E. Zakharov

Research output: Contribution to journalArticlepeer-review

33 Citations (Scopus)


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
Pages (from-to)701-705
Number of pages5
JournalJETP Letters
Issue number12
Publication statusPublished - Aug 2011
Externally publishedYes


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