Wave Equations in Bianchi Space-Times

We investigate the wave equation in Bianchi type III space-time. We construct a Lagrangian of the model, calculate and classify the Noether symmetry generators, and construct corresponding conserved forms. A reduction of the underlying equations is performed to obtain invariant solutions.

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Main Authors: S. Jamal, A. H. Kara, R Narain
Format: Article
Language:English
Published: Wiley 2012-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2012/765361
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author S. Jamal
A. H. Kara
R Narain
author_facet S. Jamal
A. H. Kara
R Narain
author_sort S. Jamal
collection DOAJ
description We investigate the wave equation in Bianchi type III space-time. We construct a Lagrangian of the model, calculate and classify the Noether symmetry generators, and construct corresponding conserved forms. A reduction of the underlying equations is performed to obtain invariant solutions.
format Article
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issn 1110-757X
1687-0042
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publishDate 2012-01-01
publisher Wiley
record_format Article
series Journal of Applied Mathematics
spelling doaj-art-c3be9a54ebbc497e91344f2bac9e8e8b2025-08-20T02:18:56ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/765361765361Wave Equations in Bianchi Space-TimesS. Jamal0A. H. Kara1R Narain2Centre for Differential Equations, Continuum Mechanics, and Applications, School of Mathematics, University of the Witwatersrand, Johannesburg 2001, South AfricaCentre for Differential Equations, Continuum Mechanics, and Applications, School of Mathematics, University of the Witwatersrand, Johannesburg 2001, South AfricaSchool of Mathematical Sciences, University of KwaZulu-Natal, Durban 4041, South AfricaWe investigate the wave equation in Bianchi type III space-time. We construct a Lagrangian of the model, calculate and classify the Noether symmetry generators, and construct corresponding conserved forms. A reduction of the underlying equations is performed to obtain invariant solutions.http://dx.doi.org/10.1155/2012/765361
spellingShingle S. Jamal
A. H. Kara
R Narain
Wave Equations in Bianchi Space-Times
Journal of Applied Mathematics
title Wave Equations in Bianchi Space-Times
title_full Wave Equations in Bianchi Space-Times
title_fullStr Wave Equations in Bianchi Space-Times
title_full_unstemmed Wave Equations in Bianchi Space-Times
title_short Wave Equations in Bianchi Space-Times
title_sort wave equations in bianchi space times
url http://dx.doi.org/10.1155/2012/765361
work_keys_str_mv AT sjamal waveequationsinbianchispacetimes
AT ahkara waveequationsinbianchispacetimes
AT rnarain waveequationsinbianchispacetimes