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Symmetry structure of a wave equation on some classes of Bianchi cosmological models

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Abstract

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.

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Acknowledgments

SJ would like to thank the National Research Foundation of South Africa for financial support.

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Authors and Affiliations

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

    S. Jamal & A. H. Kara

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

    R. Narain

  3. Faculty of Engineering Sciences, GIK Institute of Engineering Sciences and Technology, Topi, Swabi, KPK, Pakistan

    G. Shabbir

Authors
  1. S. Jamal
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  2. A. H. Kara
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  3. R. Narain
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  4. G. Shabbir
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Correspondence to G. Shabbir.

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Jamal, S., Kara, A.H., Narain, R. et al. Symmetry structure of a wave equation on some classes of Bianchi cosmological models. Indian J Phys 89, 411–416 (2015). https://doi.org/10.1007/s12648-014-0625-0

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  • DOI: https://doi.org/10.1007/s12648-014-0625-0

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