Article ID Journal Published Year Pages File Type
4623877 Journal of Mathematical Analysis and Applications 2006 17 Pages PDF
Abstract

We study symmetries and solutions of the generalized fourth-order nonlinear partial differential equations which arise from studies of thin liquid films. It is shown that the equations admit extended scaling and rotation symmetries and a class of generalized conditional symmetries for certain coefficient functions. Exact solutions associated to the symmetries are obtained.

Related Topics
Physical Sciences and Engineering Mathematics Analysis