On a generalized Fisher equation

Ashfaque H. Bokhari; Radwan Ali A. Al-Rubaee; F. D. Zaman

doi:10.1016/j.cnsns.2010.10.019

On a generalized Fisher equation

Ashfaque H. Bokhari^*
, Radwan Ali A. Al-Rubaee
, F. D. Zaman

^*Corresponding author for this work

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

10 Scopus citations

Abstract

A generalized non-linear Fisher equation in cylindrical coordinates with radial symmetry is studied from Lie symmetry point of view. In the classical Fisher equation the reaction diffusion term is replaced with a general function to accommodate more equations of this type. Moreover, the diffusivity is assumed to be a function of the dependent variable to account for many real situations. An attempt is made to classify the diffusivity function and exact solutions are obtained in some cases.

Original language	English
Pages (from-to)	2689-2695
Number of pages	7
Journal	Communications in Nonlinear Science and Numerical Simulation
Volume	16
Issue number	7
DOIs	https://doi.org/10.1016/j.cnsns.2010.10.019
State	Published - Jul 2011

Keywords

Generalized Fisher equation
Invariant solutions
Lie symmetry analysis

ASJC Scopus subject areas

Numerical Analysis
Modeling and Simulation
Applied Mathematics

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10.1016/j.cnsns.2010.10.019

Cite this

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title = "On a generalized Fisher equation",

abstract = "A generalized non-linear Fisher equation in cylindrical coordinates with radial symmetry is studied from Lie symmetry point of view. In the classical Fisher equation the reaction diffusion term is replaced with a general function to accommodate more equations of this type. Moreover, the diffusivity is assumed to be a function of the dependent variable to account for many real situations. An attempt is made to classify the diffusivity function and exact solutions are obtained in some cases.",

keywords = "Generalized Fisher equation, Invariant solutions, Lie symmetry analysis",

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AU - Bokhari, Ashfaque H.

AU - Al-Rubaee, Radwan Ali A.

AU - Zaman, F. D.

PY - 2011/7

Y1 - 2011/7

N2 - A generalized non-linear Fisher equation in cylindrical coordinates with radial symmetry is studied from Lie symmetry point of view. In the classical Fisher equation the reaction diffusion term is replaced with a general function to accommodate more equations of this type. Moreover, the diffusivity is assumed to be a function of the dependent variable to account for many real situations. An attempt is made to classify the diffusivity function and exact solutions are obtained in some cases.

AB - A generalized non-linear Fisher equation in cylindrical coordinates with radial symmetry is studied from Lie symmetry point of view. In the classical Fisher equation the reaction diffusion term is replaced with a general function to accommodate more equations of this type. Moreover, the diffusivity is assumed to be a function of the dependent variable to account for many real situations. An attempt is made to classify the diffusivity function and exact solutions are obtained in some cases.

KW - Generalized Fisher equation

KW - Invariant solutions

KW - Lie symmetry analysis

UR - https://www.scopus.com/pages/publications/79951578119

U2 - 10.1016/j.cnsns.2010.10.019

DO - 10.1016/j.cnsns.2010.10.019

M3 - Article

AN - SCOPUS:79951578119

SN - 1007-5704

VL - 16

SP - 2689

EP - 2695

JO - Communications in Nonlinear Science and Numerical Simulation

JF - Communications in Nonlinear Science and Numerical Simulation

IS - 7

ER -

On a generalized Fisher equation

Abstract

Keywords

ASJC Scopus subject areas

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