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Recently the combination of the well-known Cahn-Hilliard and Allen-Cahnequations was used to describe surface processes, such as simultaneousadsorption/desorption and surface diffusion. In the present paper we haveconsidered the one-dimensional version of the Cahn-Hilliard/Allen-Cahn equationcomplemented with convective and viscous terms. Exact solutions are obtainedand the conditions of their existence as well as the influence of applied fieldand additional dissipation are discussed.

Convective Viscous Cahn-Hilliard/Allen-Cahn Equation: Exact Solutions