Travelling wave solutions and other similarity solutions of a modified lubrication model
Departamento de Matemáticas, Universidad de Cádiz
P.O. Box 40, 11510 Puerto Real, Cádiz, Spain
Accepted: 3 April 2002
The theory of symmetry reductions of partial differential equations is applied to the generalized modified lubrication model with stable singularity-forming solutions. Some solutions with physical interest as travelling waves, source and sink solutions, waiting time ones and blow-up solutions are characterized. In particular some travelling wave solutions are determined, a heuristic argument for the analysis of their stability is provided, and some properties of the solutions are discussed.
PACS: 02.30.Jr – Partial differential equations / 02.20.Sv – Lie algebras of Lie groups
© EDP Sciences, 2002