Quasi-planar steep water waves

Details Quasi-planar steep water waves Quasi-planar steep water waves

2005-02-26

arxiv.org/abs/physics/0502146v1

Physics

Fluid Dynamics

revtex4, 4 pages, no figures

Scientific paper

10.1103/PhysRevE.71.055303

A new description for highly nonlinear potential water waves is suggested, where weak 3D effects are included as small corrections to exact 2D equations written in conformal variables. Contrary to the traditional approach, a small parameter in this theory is not the surface slope, but it is the ratio of a typical wave length to a large transversal scale along the second horizontal coordinate. A first-order correction for the Hamiltonian functional is calculated, and the corresponding equations of motion are derived for steep water waves over an arbitrary inhomogeneous quasi-1D bottom profile.

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