Journal of Nonlinear Mathematical Physics

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Volume 20, Issue 1, April 2013, Pages 44 - 60

Nonclassical Symmetries for a Class of Reaction-Diffusion Equations: the Method of Heir-Equations

Authors
M.S. Hashemi
Department of Mathematics, Imam Khomeini International University, Ghazvin 34149, Iran,hashemi_math396@yahoo.com
M.C. Nucci
Dipartimento di Matematica e Informatica, Università degli Studi di Perugia & INFN Sezione di Perugia, 06123 Perugia, Italy,nucci@unipg.it
Received 4 September 2012, Accepted 5 November 2012, Available Online 6 January 2021.
DOI
10.1080/14029251.2013.792469How to use a DOI?
Keywords
reaction-diffusion equations; Nonclassical symmetries; heir-equations
Abstract

The nonclassical symmetries method is applied to a class of reaction-diffusion equations with nonlinear source, i.e. ut=uxx+cux+R(u, x). Several cases are obtained by using suitable solutions of the heir-equations as described in [M.C. Nucci, Nonclassical symmetries as special solutions of heir-equations, J. Math. Anal. Appl. 279 (2003) 168–179].

Copyright
© 2013 The Authors. Published by Atlantis Press and Taylor & Francis
Open Access
This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

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Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
20 - 1
Pages
44 - 60
Publication Date
2021/01/06
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.1080/14029251.2013.792469How to use a DOI?
Copyright
© 2013 The Authors. Published by Atlantis Press and Taylor & Francis
Open Access
This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

risenwbib
TY  - JOUR
AU  - M.S. Hashemi
AU  - M.C. Nucci
PY  - 2021
DA  - 2021/01/06
TI  - Nonclassical Symmetries for a Class of Reaction-Diffusion Equations: the Method of Heir-Equations
JO  - Journal of Nonlinear Mathematical Physics
SP  - 44
EP  - 60
VL  - 20
IS  - 1
SN  - 1776-0852
UR  - https://doi.org/10.1080/14029251.2013.792469
DO  - 10.1080/14029251.2013.792469
ID  - Hashemi2021
ER  -