Published April 2015
| Version v1
Journal article
Symmetry structure of a wave equation on some classes of Bianchi cosmological models
Creators
- 1. School of Mathematics and Centre for Differential Equations, Continuum Mechanics and Applications, University of the Witwatersrand, Johannesburg (South Africa)
- 2. School of Mathematical Sciences, University of KwaZulu-Natal, Durban (South Africa)
- 3. Faculty of Engineering Sciences, GIK Institute of Engineering Sciences and Technology, Topi, Swabi (Pakistan)
Description
Nonlinear wave equations are constructed on certain Bianchi models and a symmetry analysis of these equations are performed to construct some exact solutions. Conservation laws of the respective wave equations are also obtained by the application of Noether's theorem. We show how a knowledge of these contributes to the reduction of the wave equation on this manifold. (author)
Additional details
Publishing Information
- Journal Title
- Indian Journal of Physics (Online)
- Journal Volume
- 89
- Journal Issue
- 4
- Journal Page Range
- p. 411-416
- ISSN
- 0974-9845
INIS
- Country of Publication
- India
- Country of Input or Organization
- India
- INIS RN
- 51090742
- Subject category
- S79: ASTROPHYSICS, COSMOLOGY AND ASTRONOMY;
- Descriptors DEI
- CONSERVATION LAWS; CONTINUITY EQUATIONS; COSMOLOGICAL INFLATION; COSMOLOGICAL MODELS; GALACTIC EVOLUTION; INVARIANCE PRINCIPLES; PARTICLE KINEMATICS; SYMMETRY; UNIVERSE; WAVE EQUATIONS
- Descriptors DEC
- DIFFERENTIAL EQUATIONS; EQUATIONS; EVOLUTION; MATHEMATICAL MODELS; PARTIAL DIFFERENTIAL EQUATIONS