Article ID Journal Published Year Pages File Type
759887 Communications in Nonlinear Science and Numerical Simulation 2008 10 Pages PDF
Abstract

A fourth-order non-linear evolutionary partial differential equation containing several arbitrary functions of the dependent variable is considered. This equation arises as a generalization of various non-linear models describing a non-linear heat diffusion, the dynamics of thin liquid films, etc. Equivalence transformations give more flexibility to the unified model. We determine the generators of the equivalence group and use them for specifying certain types of arbitrary functions when the model equation has additional symmetries, and hence admits non-trivial group invariant solutions.

Related Topics
Physical Sciences and Engineering Engineering Mechanical Engineering
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