Mitlin Vlad
Mitlin and Associates,10329 Azuaga St., San Diego, CA 92129, USA.
J Colloid Interface Sci. 2005 Oct 15;290(2):310-7. doi: 10.1016/j.jcis.2005.07.069.
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.
