A short remark on the integrability of a nonlinear reaction–diffusion equation arising in mathematical biology: Compatibility analysis

A short remark on the integrability of a nonlinear reaction–diffusion equation arising in mathematical biology: Compatibility analysis

An analytical approach based on the compatibility concept is employed to solve a nonlinear reaction–diffusion model arising in mathematical biology. The solution process makes it extremely easy to obtain a relatively accurate closed-form solution of the model. The pencil-and-paper solution procedure...

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Main Authors: Taha Aziz, Aeeman Fatima, Chaudry Masood Khalique
Format: Article
Language:English
Published: Elsevier 2016-01-01
Series:Results in Physics
Online Access:http://www.sciencedirect.com/science/article/pii/S2211379716300699
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spelling doaj-3b55ccd3d2264de587676b9cb66936e12020-11-25T01:28:30ZengElsevierResults in Physics2211-37972016-01-016549550A short remark on the integrability of a nonlinear reaction–diffusion equation arising in mathematical biology: Compatibility analysisTaha Aziz0Aeeman Fatima1Chaudry Masood Khalique2International Institute for Symmetry Analysis and Mathematical Modeling, Department of Mathematical Sciences, North-West University, Mafikeng Campus, Private Bag X 2046, Mmabatho 2735, South Africa; DST-NRF Centre of Excellence in Mathematical and Statistical Sciences, South Africa; Corresponding author at: International Institute for Symmetry Analysis and Mathematical Modeling, Department of Mathematical Sciences, North-West University, Mafikeng Campus, Private Bag X 2046, Mmabatho 2735, South Africa.International Institute for Symmetry Analysis and Mathematical Modeling, Department of Mathematical Sciences, North-West University, Mafikeng Campus, Private Bag X 2046, Mmabatho 2735, South Africa; DST-NRF Centre of Excellence in Mathematical and Statistical Sciences, South AfricaInternational Institute for Symmetry Analysis and Mathematical Modeling, Department of Mathematical Sciences, North-West University, Mafikeng Campus, Private Bag X 2046, Mmabatho 2735, South AfricaAn analytical approach based on the compatibility concept is employed to solve a nonlinear reaction–diffusion model arising in mathematical biology. The solution process makes it extremely easy to obtain a relatively accurate closed-form solution of the model. The pencil-and-paper solution procedure can be extended to other class of nonlinear problems of similar kind. Keywords: Compatibility approach, Reaction–diffusion equation, Exact solvabilityhttp://www.sciencedirect.com/science/article/pii/S2211379716300699
collection DOAJ
language English
format Article
sources DOAJ
author Taha Aziz
Aeeman Fatima
Chaudry Masood Khalique
spellingShingle Taha Aziz
Aeeman Fatima
Chaudry Masood Khalique
A short remark on the integrability of a nonlinear reaction–diffusion equation arising in mathematical biology: Compatibility analysis
Results in Physics
author_facet Taha Aziz
Aeeman Fatima
Chaudry Masood Khalique
author_sort Taha Aziz
title A short remark on the integrability of a nonlinear reaction–diffusion equation arising in mathematical biology: Compatibility analysis
title_short A short remark on the integrability of a nonlinear reaction–diffusion equation arising in mathematical biology: Compatibility analysis
title_full A short remark on the integrability of a nonlinear reaction–diffusion equation arising in mathematical biology: Compatibility analysis
title_fullStr A short remark on the integrability of a nonlinear reaction–diffusion equation arising in mathematical biology: Compatibility analysis
title_full_unstemmed A short remark on the integrability of a nonlinear reaction–diffusion equation arising in mathematical biology: Compatibility analysis
title_sort short remark on the integrability of a nonlinear reaction–diffusion equation arising in mathematical biology: compatibility analysis
publisher Elsevier
series Results in Physics
issn 2211-3797
publishDate 2016-01-01
description An analytical approach based on the compatibility concept is employed to solve a nonlinear reaction–diffusion model arising in mathematical biology. The solution process makes it extremely easy to obtain a relatively accurate closed-form solution of the model. The pencil-and-paper solution procedure can be extended to other class of nonlinear problems of similar kind. Keywords: Compatibility approach, Reaction–diffusion equation, Exact solvability
url http://www.sciencedirect.com/science/article/pii/S2211379716300699
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AT chaudrymasoodkhalique ashortremarkontheintegrabilityofanonlinearreactiondiffusionequationarisinginmathematicalbiologycompatibilityanalysis
AT tahaaziz shortremarkontheintegrabilityofanonlinearreactiondiffusionequationarisinginmathematicalbiologycompatibilityanalysis
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