Forced solitary wave and vorticity with topography effect in quasi-geostrophic modelling

A forced KdV equation including the special topography effect is derived to describe nonlinear long wave and solitary eddy based on quasi-geostrophic potential vorticity model. We obtain theoretical solution of concrete form stream function through perturbation theory multi-scale analysis methods. It found that joint weak shear basic flow can change cyclone anticyclone structure eddy, in meantime topographic affects East-West propagation direction wave. Finally, according interaction between by pseudo spectral numerical method, height related amplitude, wavelength velocity excited train, not only spatial wave, but also amplitude