A. I. Dyachenko, V. E. Zakharov, “Spatial equation for water waves”, Pis'ma v Zh. Èksper. Teoret. Fiz., 2016, Volume 103, Issue 3,Pages <nobr>200

This article is cited in 4 papers

CONDENSED MATTER

Spatial equation for water waves

A. I. Dyachenko^ab, V. E. Zakharov^cdab

^a Novosibirsk State University, 630090 Novosibirsk, Russia
^b Landau Institute for Theoretical Physicsof the RAS, 142432 Chernogolovka, Russia
^c Department of Mathematics, University of Arizona, AZ 857201 Tucson, USA
^d Physical Institute of the RAS, 119991 Moscow, Russia

Abstract: We derive compact spatial Hamiltonian equation for the gravity waves on the deep water. The equation is dynamical one, it can describe extreme waves. Also equation for envelope of wave train is obtained.

Received: 02.12.2015

Language: English

DOI: 10.7868/S0370274X16030085