Journal of Nonlinear Mathematical Physics

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Volume 15, Issue supplement 3, October 2008, Pages 185 - 196

Nonclassical Potential System Approach for a Nonlinear Diffusion Equation

Authors
M.L. Gandarias, M.S. Bruzon
Corresponding Author
M.L. Gandarias
Available Online 1 October 2008.
DOI
10.2991/jnmp.2008.15.s3.19How to use a DOI?
Abstract

In this paper we consider a class of equations that model diffusion. For some of these equations nonclassical potential symmetries are derived by using a modified system approach. These symmetries allow us to increase the number of exact known solutions. These solutions are unobtainable from classical potential symmetries derived by using the so called natural potential system nor from nonclassical symmetries of the given partial differential equation.

Copyright
© 2008, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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<Previous Article In Issue
Next Article In Issue>
Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
15 - supplement 3
Pages
185 - 196
Publication Date
2008/10/01
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.2991/jnmp.2008.15.s3.19How to use a DOI?
Copyright
© 2008, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

risenwbib
TY  - JOUR
AU  - M.L. Gandarias
AU  - M.S. Bruzon
PY  - 2008
DA  - 2008/10/01
TI  - Nonclassical Potential System Approach for a Nonlinear Diffusion Equation
JO  - Journal of Nonlinear Mathematical Physics
SP  - 185
EP  - 196
VL  - 15
IS  - supplement 3
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.2008.15.s3.19
DO  - 10.2991/jnmp.2008.15.s3.19
ID  - Gandarias2008
ER  -