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Higher-order symmetries and conservation laws of multi-dimensional Gordon-type equations

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Abstract

In this paper a class of multi-dimensional Gordon-type equations are analysed using a multiplier and homotopy approach to construct conservation laws. The main focus is the analysis of the classical versions of the Gordon-type equations and obtaining higher-order variational symmetries and corresponding conserved quantities. The results are extended to the multi-dimensional Gordon-type equations with the two-dimensional Klein–Gordon equation in particular yielding interesting results.

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Authors and Affiliations

  1. School of Mathematics, University of the Witwatersrand, Johannesburg, Private Bag 3, Wits, 2050, South Africa

    S JAMAL

  2. School of Mathematics and Centre for Differential Equations, Continuum Mechanics and Applications, University of the Witwatersrand, Johannesburg, Private Bag 3, Wits, 2050, South Africa

    A H KARA

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  1. S JAMAL
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  2. A H KARA
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Correspondence to S JAMAL.

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JAMAL, S., KARA, A.H. Higher-order symmetries and conservation laws of multi-dimensional Gordon-type equations. Pramana - J Phys 77, 447–460 (2011). https://doi.org/10.1007/s12043-011-0165-5

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  • DOI: https://doi.org/10.1007/s12043-011-0165-5

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