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posted on 23.01.2007by Roger Grimshaw, Efim N. Pelinovsky, Tatiana G. Talipova
In the coastal oceans, the interaction of currents (such as the
barotropic tide) with topography can generate large-amplitude, horizontally
propagating internal solitary waves. These waves often occur
in regions where the waveguide properties vary in the direction of
propagation. We consider the modeling of these waves by nonlinear
evolution equations of the Korteweg-de Vries type with variable coefficients,
and we describe how these models to describe the shoaling
of internal solitary waves over the continental shelf and slope. The
theories are compared with various numerical simulations.