A new (2+1)-D mZK-Burgers model for non-linear Rossby waves aswell as the analytical solution

Abstract

In the paper, based on the quasi-geostrophic potential vorticity equation with topography effect, we derived a modified ZakharovKuznetsor (mZK)-Burgers equation by employing multiscale analysis and perturbation method. The model can be described the propagation of the nonlinear long wave and solitary eddy. The exact solutions are given by virtue of the (G'/G)-expansion method to analyze wave propagation characteristics.