KdV equation with a forcing term for the evolution of the amplitude of Rossby waves along a slowly changing topography

Abstract

Employing the weakly nonlinear method and perturbation method, the evolution ofthe amplitude of Rossby waves when the topography slowly changes is studied. AKdV equation with a forcing term governing this evolution is obtained from the quasi-geostrophic vorticity equation, and the forcing term is induced by the slowly changing topography.