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

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      https://www.ias.ac.in/article/fulltext/pram/077/03/0447-0460

    • Keywords

       

      Conservation laws; multipliers; multi-dimensional Gordon-type equations.

    • 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 Gordontype equations with the two-dimensional Klein–Gordon equation in particular yielding interesting results.

    • Author Affiliations

       

      S Jamal1 A H Kara2

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

       
  • Pramana – Journal of Physics | News

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      Posted on July 25, 2019

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