Wave Equations in Bianchi Space-Times-Reference-Cited by-同舟云学术

Wave Equations in Bianchi Space-Times

Published:2012 Issue: Volume:2012 Page:1-12
ISSN:1110-757X
Container-title:Journal of Applied Mathematics
language:en
Short-container-title:Journal of Applied Mathematics

Author:

Jamal S.¹^ORCID,Kara A. H.¹,Narain R²^ORCID

Affiliation:

1. Centre for Differential Equations, Continuum Mechanics, and Applications, School of Mathematics, University of the Witwatersrand, Johannesburg 2001, South Africa

2. School of Mathematical Sciences, University of KwaZulu-Natal, Durban 4041, South Africa

Abstract

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.

Publisher

Hindawi Limited

Subject

Applied Mathematics

Link

http://downloads.hindawi.com/journals/jam/2012/765361.pdf

Reference16 articles.

1. Direct construction method for conservation laws of partial differential equations Part II: General treatment

2. Applications of Lie Groups to Differential Equations

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