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

Taha Aziz; Aeeman Fatima; Chaudry Masood Khalique

doi:10.1016/j.rinp.2016.08.016

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

Taha Aziz^*
, Aeeman Fatima
, Chaudry Masood Khalique

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	549-550
Number of pages	2
Journal	Results in Physics
Volume	6
DOIs	https://doi.org/10.1016/j.rinp.2016.08.016
State	Published - 2016
Externally published	Yes

Bibliographical note

Publisher Copyright:
© 2016 The Authors

Keywords

Compatibility approach
Exact solvability
Reaction–diffusion equation

ASJC Scopus subject areas

General Physics and Astronomy

Access to Document

10.1016/j.rinp.2016.08.016

Cite this

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

abstract = "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, Exact solvability, Reaction–diffusion equation",

author = "Taha Aziz and Aeeman Fatima and Khalique, \{Chaudry Masood\}",

note = "Publisher Copyright: {\textcopyright} 2016 The Authors",

year = "2016",

doi = "10.1016/j.rinp.2016.08.016",

language = "English",

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journal = "Results in Physics",

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T2 - Compatibility analysis

AU - Aziz, Taha

AU - Fatima, Aeeman

AU - Khalique, Chaudry Masood

PY - 2016

Y1 - 2016

N2 - 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.

AB - 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.

KW - Compatibility approach

KW - Exact solvability

KW - Reaction–diffusion equation

UR - https://www.scopus.com/pages/publications/84984669561

U2 - 10.1016/j.rinp.2016.08.016

DO - 10.1016/j.rinp.2016.08.016

M3 - Article

AN - SCOPUS:84984669561

SN - 2211-3797

VL - 6

SP - 549

EP - 550

JO - Results in Physics

JF - Results in Physics

ER -

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

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

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Cite this