title: The mu-derivative and its applications to finding exact solutions of the Cahn-Hilliard, Korteveg-de Vries, and Burgers equations.
abstract: A new transformation termed the mu-derivative is introduced. Applying it to the Cahn-Hilliard equation yields dynamical exact solutions. It is shown that the mu-transformed Cahn-Hilliard equation can be presented in a separable form. This transformation also yields dynamical exact solutions and separable forms for other nonlinear models such as the modified Korteveg-de Vries and the Burgers equations. The general structure of a nonlinear partial differential equation that becomes separable upon applying the mu-derivative is described.
authors.affiliation: Mitlin and Associates,10329 Azuaga St., San Diego, CA 92129, USA. vlad_mitlin@hotmail.com
authors.forename: Vlad
authors.initials: V
authors.lastname: Mitlin