Journal of Nonlinear Mathematical Physics

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Volume 3, Issue 1-2, May 1996, Pages 219 - 225

Similarity Solutions for a Nonlinear Model of the Heat Equation

Authors
Effat A. Saied, Magdy M. Hussein
Corresponding Author
Effat A. Saied
Available Online 1 May 1996.
DOI
10.2991/jnmp.1996.3.1-2.6How to use a DOI?
Abstract

We apply the similarity method based on a Lie group to a nonlinear model of the heat equation and find its Lie algebra.The optimal system of the model is contructed from the Lie algebra. New classes of similarity solutions are obtained.

Copyright
© 2006, 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
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Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
3 - 1-2
Pages
219 - 225
Publication Date
1996/05/01
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.2991/jnmp.1996.3.1-2.6How to use a DOI?
Copyright
© 2006, 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  - Effat A. Saied
AU  - Magdy M. Hussein
PY  - 1996
DA  - 1996/05/01
TI  - Similarity Solutions for a Nonlinear Model of the Heat Equation
JO  - Journal of Nonlinear Mathematical Physics
SP  - 219
EP  - 225
VL  - 3
IS  - 1-2
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.1996.3.1-2.6
DO  - 10.2991/jnmp.1996.3.1-2.6
ID  - Saied1996
ER  -