Journal of Nonlinear Mathematical Physics

Volume 5, Issue 3, August 1998, Pages 234 - 244

Similarity Reductions for a Nonlinear Diffusion Equation

Authors
M.L. GANDARIAS, P. VENERO, J. RAMIREZ
Corresponding Author
M.L. GANDARIAS
Available Online 1 August 1998.
DOI
https://doi.org/10.2991/jnmp.1998.5.3.2How to use a DOI?
Abstract
Similarity reductions and new exact solutions are obtained for a nonlinear diffusion equation. These are obtained by using the classical symmetry group and reducing the partial differential equation to various ordinary differential equations. For the equations so obtained, first integrals are deduced which consequently give rise to explicit solutions. Potential symmetries, which are realized as local symmetries of a related auxiliary system, are obtained. For some special nonlinearities new symmetry reductions and exact solutions are derived by using the nonclassical method.
Open Access
This is an open access article distributed under the CC BY-NC license.

Download article (PDF)

Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
5 - 3
Pages
234 - 244
Publication Date
1998/08
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
https://doi.org/10.2991/jnmp.1998.5.3.2How to use a DOI?
Open Access
This is an open access article distributed under the CC BY-NC license.

Cite this article

TY  - JOUR
AU  - M.L. GANDARIAS
AU  - P. VENERO
AU  - J. RAMIREZ
PY  - 1998
DA  - 1998/08
TI  - Similarity Reductions for a Nonlinear Diffusion Equation
JO  - Journal of Nonlinear Mathematical Physics
SP  - 234
EP  - 244
VL  - 5
IS  - 3
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.1998.5.3.2
DO  - https://doi.org/10.2991/jnmp.1998.5.3.2
ID  - GANDARIAS1998
ER  -