Nonlinear interfacial waves in a constant-vorticity planar flow over variable depth

Details Nonlinear interfacial waves in a constant-vorticity planar flow over variable depth Nonlinear interfacial waves in a constant-vorticity planar flow over variable depth

2010-06-08

arxiv.org/abs/1006.1462v2

JETP Letters, 2010, Vol. 92, No. 3, pp 140-145

Physics

Atmospheric and Oceanic Physics

revtex, 4.5 pages, minor corrections, summary added, accepted to JETP Letters

Scientific paper

10.1134/S002136401015004X

Exact Lagrangian in compact form is derived for planar internal waves in a two-fluid system with a relatively small density jump (the Boussinesq limit taking place in real oceanic conditions), in the presence of a background shear current of constant vorticity, and over arbitrary bottom profile. Long-wave asymptotic approximations of higher orders are derived from the exact Hamiltonian functional in a remarkably simple way, for two different parametrizations of the interface shape.

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