We consider the 1-D Cahn-Hilliard equation with the order parameter nu and derive ail equation for a modified order parameter g such that g" = nu. The new equation allows for separation of variables. This yields exact solutions for v expressed in terms of generalized hypergeometric functions. These Solutions have ail infinite gradient at their zeros and the first three derivatives of zero at their extrema. The amplitude of these patterns decreases as the inverse square root of time. It is suggested that the phenomenon of compartmentalization of evolving structures typically observed in evolutionary models of the Cahn-Hilliard type is a manifestation of relaxation patterns similar to those derived in this paper. (c) 2005 Elsevier Inc. All rights reserved.