  Recently the combination of the well-known Cahn-Hilliard and Allen-Cahn
equations was used to describe surface processes, such as simultaneous
adsorption/desorption and surface diffusion. In the present paper we have
considered the one-dimensional version of the Cahn-Hilliard/Allen-Cahn equation
complemented with convective and viscous terms. Exact solutions are obtained
and the conditions of their existence as well as the influence of applied field
and additional dissipation are discussed.
