Effect of a Background Shear Current on Models for Nonlinear Long Internal Waves

R. Grimshaw

The Korteweg—de Vries equation is a standard model for the description of long nonlinear internal waves in the ocean. When the effect of weak transverse variations and the Earth’s background rotation are taken into account, this is replaced by the rotation-modified Kadomtsev—Petviashvili equation. In this short note we revisit the asymptotic derivation of this equation, incorporating a background shear flow as well as the background stratification.

Download original text