Symmetry classifications and reductions of some classes of (2 + 1)-nonlinear heat equation

A. Ahmad; Ashfaque H. Bokhari; A. H. Kara; F. D. Zaman

doi:10.1016/j.jmaa.2007.07.002

Symmetry classifications and reductions of some classes of (2 + 1)-nonlinear heat equation

A. Ahmad
, Ashfaque H. Bokhari^*
, A. H. Kara
, F. D. Zaman

^*Corresponding author for this work

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

20 Scopus citations

Abstract

The (2 + 1)-nonlinear heat equation u_t - f (u) (u_{x x} + u_{y y}) = 0 is considered. A symmetry classification of the equation using Lie group method is presented and reduction to the first- or second-order ordinary differential equations is provided.

Original language	English
Pages (from-to)	175-181
Number of pages	7
Journal	Journal of Mathematical Analysis and Applications
Volume	339
Issue number	1
DOIs	https://doi.org/10.1016/j.jmaa.2007.07.002
State	Published - 1 Mar 2008

Keywords

Symmetry classification
Two-dimensional nonlinear heat equation

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1016/j.jmaa.2007.07.002

Cite this

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title = "Symmetry classifications and reductions of some classes of (2 + 1)-nonlinear heat equation",

abstract = "The (2 + 1)-nonlinear heat equation ut - f (u) (ux x + uy y) = 0 is considered. A symmetry classification of the equation using Lie group method is presented and reduction to the first- or second-order ordinary differential equations is provided.",

keywords = "Symmetry classification, Two-dimensional nonlinear heat equation",

author = "A. Ahmad and Bokhari, \{Ashfaque H.\} and Kara, \{A. H.\} and Zaman, \{F. D.\}",

year = "2008",

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doi = "10.1016/j.jmaa.2007.07.002",

language = "English",

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journal = "Journal of Mathematical Analysis and Applications",

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T1 - Symmetry classifications and reductions of some classes of (2 + 1)-nonlinear heat equation

AU - Ahmad, A.

AU - Bokhari, Ashfaque H.

AU - Kara, A. H.

AU - Zaman, F. D.

PY - 2008/3/1

Y1 - 2008/3/1

N2 - The (2 + 1)-nonlinear heat equation ut - f (u) (ux x + uy y) = 0 is considered. A symmetry classification of the equation using Lie group method is presented and reduction to the first- or second-order ordinary differential equations is provided.

AB - The (2 + 1)-nonlinear heat equation ut - f (u) (ux x + uy y) = 0 is considered. A symmetry classification of the equation using Lie group method is presented and reduction to the first- or second-order ordinary differential equations is provided.

KW - Symmetry classification

KW - Two-dimensional nonlinear heat equation

UR - https://www.scopus.com/pages/publications/35248815934

U2 - 10.1016/j.jmaa.2007.07.002

DO - 10.1016/j.jmaa.2007.07.002

M3 - Article

AN - SCOPUS:35248815934

SN - 0022-247X

VL - 339

SP - 175

EP - 181

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 1

ER -

Symmetry classifications and reductions of some classes of (2 + 1)-nonlinear heat equation

Abstract

Keywords

ASJC Scopus subject areas

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