Two Models for 2D Deep Water Waves

In this paper 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 taking advantage Zakharov equation for one-dimensional which can be written in form so-called compact equations. We generalize these equations case waves. As a test our models, perform numerical simulations dynamics standing channel with smooth vertical walls. results obtained proposed are comparable, indicating that similar original equation.