  The conserved Kuramoto-Sivashinsky equation is considered as the evolution
equation of amorphous thin film growth in one- and in two-dimensions. The role
of the nonlinear term $\Delta (\ | \nabla u\ | ^{2})$ and the properties of the
solutions are investigated analytically and numerically. We provide analytical
results on the wavelength and amplitude. We present numerical simulations to
this equation which show the roughening and coarsening of the surface pattern
and the evolution of the surface morphology in time for different parameter
values in one- and in two-dimensions.
