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...

Full description

Bibliographic Details
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
Description
Summary: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
ISSN:2211-3797