An exact solution of a quasilinear Fisher equation in cylindrical coordinates

Ashfaque H. Bokhari; M. T. Mustafa; F. D. Zaman

doi:10.1016/j.na.2007.11.012

An exact solution of a quasilinear Fisher equation in cylindrical coordinates

Ashfaque H. Bokhari
, M. T. Mustafa^*
, F. D. Zaman

^*Corresponding author for this work

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

9 Scopus citations

Abstract

Lie symmetry method is applied to analyse Fisher equation in cylindrical coordinates. Symmetry algebra is found and symmetry invariance is used to reduce the equation to a first-order ODE. The first-order ODE is further analysed to obtain exact solution of Fisher equation in explicit form.

Original language	English
Pages (from-to)	4803-4805
Number of pages	3
Journal	Nonlinear Analysis, Theory, Methods and Applications
Volume	69
Issue number	12
DOIs	https://doi.org/10.1016/j.na.2007.11.012
State	Published - 15 Dec 2008

Bibliographical note

Funding Information:
The authors thank King Fahd University of Petroleum and Minerals (KFUPM), Saudi Arabia for the support and research facilities provided to complete this work.

Keywords

Exact solutions
Fisher equation
Partial differential equations

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1016/j.na.2007.11.012

Cite this

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title = "An exact solution of a quasilinear Fisher equation in cylindrical coordinates",

abstract = "Lie symmetry method is applied to analyse Fisher equation in cylindrical coordinates. Symmetry algebra is found and symmetry invariance is used to reduce the equation to a first-order ODE. The first-order ODE is further analysed to obtain exact solution of Fisher equation in explicit form.",

keywords = "Exact solutions, Fisher equation, Partial differential equations",

author = "Bokhari, \{Ashfaque H.\} and Mustafa, \{M. T.\} and Zaman, \{F. D.\}",

note = "Funding Information: The authors thank King Fahd University of Petroleum and Minerals (KFUPM), Saudi Arabia for the support and research facilities provided to complete this work. ",

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AU - Bokhari, Ashfaque H.

AU - Mustafa, M. T.

AU - Zaman, F. D.

N1 - Funding Information: The authors thank King Fahd University of Petroleum and Minerals (KFUPM), Saudi Arabia for the support and research facilities provided to complete this work.

PY - 2008/12/15

Y1 - 2008/12/15

N2 - Lie symmetry method is applied to analyse Fisher equation in cylindrical coordinates. Symmetry algebra is found and symmetry invariance is used to reduce the equation to a first-order ODE. The first-order ODE is further analysed to obtain exact solution of Fisher equation in explicit form.

AB - Lie symmetry method is applied to analyse Fisher equation in cylindrical coordinates. Symmetry algebra is found and symmetry invariance is used to reduce the equation to a first-order ODE. The first-order ODE is further analysed to obtain exact solution of Fisher equation in explicit form.

KW - Exact solutions

KW - Fisher equation

KW - Partial differential equations

UR - https://www.scopus.com/pages/publications/55049123204

U2 - 10.1016/j.na.2007.11.012

DO - 10.1016/j.na.2007.11.012

M3 - Article

AN - SCOPUS:55049123204

SN - 0362-546X

VL - 69

SP - 4803

EP - 4805

JO - Nonlinear Analysis, Theory, Methods and Applications

JF - Nonlinear Analysis, Theory, Methods and Applications

IS - 12

ER -

An exact solution of a quasilinear Fisher equation in cylindrical coordinates

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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