NEW CLASSES OF SIMILARITY SOLUTIONS OF THE INHOMOGENEOUS NONLINEAR DIFFUSION-EQUATIONS

Authors
SAIED EA HUSSEIN MM
Citation
Ea. Saied et Mm. Hussein, NEW CLASSES OF SIMILARITY SOLUTIONS OF THE INHOMOGENEOUS NONLINEAR DIFFUSION-EQUATIONS, Journal of physics. A, mathematical and general, 27(14), 1994, pp. 4867-4874
Citations number
18
Categorie Soggetti
Physics
Journal title
Journal of physics. A, mathematical and general → ACNP
ISSN journal
03054470
Volume
27
Issue
14
Year of publication
1994
Pages
4867 - 4874
Database
ISI
SICI code
0305-4470(1994)27:14<4867:NCOSSO>2.0.ZU;2-M
Abstract
The Lie similarity method has been used to extend the similarity solut ions of the one-dimensional inhomogeneous nonlinear diffusion equation s. We determine the Lie point symmetry vector fields and calculate the similarity ansatz. Then we discuss the resulting nonlinear ordinary d ifferential equations. Exact solutions are found, and their relations to some real physical are discussed.