Symmetry analysis of wave equation on sphere

H. Azad; M. T. Mustafa

doi:10.1016/j.jmaa.2006.11.053

Symmetry analysis of wave equation on sphere

H. Azad
, M. T. Mustafa^*

^*Corresponding author for this work

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

24 Scopus citations

Abstract

The symmetry classification problem for wave equation on sphere is considered. Symmetry algebra is found and a classification of its subalgebras, up to conjugacy, is obtained. Similarity reductions are performed for each class, and some examples of exact invariant solutions are given.

Original language	English
Pages (from-to)	1180-1188
Number of pages	9
Journal	Journal of Mathematical Analysis and Applications
Volume	333
Issue number	2
DOIs	https://doi.org/10.1016/j.jmaa.2006.11.053
State	Published - 15 Sep 2007
Externally published	Yes

Bibliographical note

Funding Information:
The authors acknowledge the support of King Fahd University of Petroleum & Minerals, Dhahran, Saudi Arabia.

Keywords

Group invariant solutions
Lie symmetries
Partial differential equations
Symmetry analysis

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1016/j.jmaa.2006.11.053

Cite this

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title = "Symmetry analysis of wave equation on sphere",

abstract = "The symmetry classification problem for wave equation on sphere is considered. Symmetry algebra is found and a classification of its subalgebras, up to conjugacy, is obtained. Similarity reductions are performed for each class, and some examples of exact invariant solutions are given.",

keywords = "Group invariant solutions, Lie symmetries, Partial differential equations, Symmetry analysis",

author = "H. Azad and Mustafa, \{M. T.\}",

note = "Funding Information: The authors acknowledge the support of King Fahd University of Petroleum \& Minerals, Dhahran, Saudi Arabia.",

year = "2007",

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AU - Azad, H.

AU - Mustafa, M. T.

N1 - Funding Information: The authors acknowledge the support of King Fahd University of Petroleum & Minerals, Dhahran, Saudi Arabia.

PY - 2007/9/15

Y1 - 2007/9/15

N2 - The symmetry classification problem for wave equation on sphere is considered. Symmetry algebra is found and a classification of its subalgebras, up to conjugacy, is obtained. Similarity reductions are performed for each class, and some examples of exact invariant solutions are given.

AB - The symmetry classification problem for wave equation on sphere is considered. Symmetry algebra is found and a classification of its subalgebras, up to conjugacy, is obtained. Similarity reductions are performed for each class, and some examples of exact invariant solutions are given.

KW - Group invariant solutions

KW - Lie symmetries

KW - Partial differential equations

KW - Symmetry analysis

UR - https://www.scopus.com/pages/publications/34248574757

U2 - 10.1016/j.jmaa.2006.11.053

DO - 10.1016/j.jmaa.2006.11.053

M3 - Article

AN - SCOPUS:34248574757

SN - 0022-247X

VL - 333

SP - 1180

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JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 2

ER -

Symmetry analysis of wave equation on sphere

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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Cite this