Институт теоретической физики им. Л.Д. Ландау РАН
L.D. Landau Institute for Theoretical Physics RAS
Landau Days 2022 June, 27-30, 2022 Chernogolovka, Russia

Two models for describing 2D deep water waves
Date/Time: 15:00 27-Jun-2022
We propose two Hamiltonian models to describe two-dimensional deep water waves propagating on the surface of an ideal incompressible three-dimensional fluid. The idea is based on taking advantage of the Zakharov equation for one-dimensional waves which can be written in the form of the so-called compact equations. We generalize these equations to the case of two-dimensional waves. As a test of our models we perform numerical simulations of the dynamics of standing waves in a water channel with smooth vertical walls. The results obtained in the proposed models are comparable, indicating that the models are similar to the original Zakharov equation.


Dremov Sergey (Presenter)
(no additional information)

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