| Issue |
Europhys. Lett.
Volume 59, Number 1, July 2002
|
|
|---|---|---|
| Page(s) | 1 - 6 | |
| Section | General | |
| DOI | https://doi.org/10.1209/epl/i2002-00383-8 | |
| Published online | 01 June 2002 | |
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
Received:
12
November
2001
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
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