Approximate Symmetry Analysis of a Class of Perturbed Nonlinear Reaction-Diffusion Equations
Joint Authors
Mahdavi, Abolhassan
Nadjafikhah, Mehdi
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-12-09
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
The problem of approximate symmetries of a class of nonlinear reaction-diffusion equations called Kolmogorov-Petrovsky-Piskounov (KPP) equation is comprehensively analyzed.
In order to compute the approximate symmetries, we have applied the method which was proposed by Fushchich and Shtelen (1989) and fundamentally based on the expansion of the dependent variables in a perturbation series.
Particularly, an optimal system of one-dimensional subalgebras is constructed and some invariant solutions corresponding to the resulted symmetries are obtained.
American Psychological Association (APA)
Nadjafikhah, Mehdi& Mahdavi, Abolhassan. 2013. Approximate Symmetry Analysis of a Class of Perturbed Nonlinear Reaction-Diffusion Equations. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-468795
Modern Language Association (MLA)
Nadjafikhah, Mehdi& Mahdavi, Abolhassan. Approximate Symmetry Analysis of a Class of Perturbed Nonlinear Reaction-Diffusion Equations. Abstract and Applied Analysis No. 2013 (2013), pp.1-7.
https://search.emarefa.net/detail/BIM-468795
American Medical Association (AMA)
Nadjafikhah, Mehdi& Mahdavi, Abolhassan. Approximate Symmetry Analysis of a Class of Perturbed Nonlinear Reaction-Diffusion Equations. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-468795
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-468795