title: |
Nonclassical Potential System Approach for a Nonlinear Diffusion Equation |
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publication: |
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| volume-issue: | 15 - supplement 3 | |
| pages: | 185 - 196 | |
ISSN: |
1402-9251 | |
DOI: |
doi:10.2991/jnmp.2008.15.s3.19 (how to use a DOI) | |
author(s): |
M. L. Gandarias, M. S. Bruzon |
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publication date: |
October 2008 |
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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. |
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copyright: |
©
Atlantis Press. This article is distributed under the
terms of the Creative Commons Attribution License, which permits
non-commercial use, distribution and reproduction in any medium,
provided the original work is properly cited. |
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full text: |