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      https://www.ias.ac.in/article/fulltext/pram/080/05/0739-0755

    • Keywords

       

      Conservation laws; Milne space-time; Gordon-type equations.

    • Abstract

       

      In this letter, the Lie point symmetries of a class of Gordon-type wave equations that arise in the Milne space-time are presented and analysed. Using the Lie point symmetries, it is showed how to reduce Gordon-type wave equations using the method of invariants, and to obtain exact solutions corresponding to some boundary values. The Noether point symmetries and conservation laws are obtained for the Klein–Gordon equation in one case. Finally, the existence of higher-order variational symmetries of a projection of the Klein–Gordon equation is investigated using the multiplier approach.

    • Author Affiliations

       

      S Jamal1 A H Kara1 A H Bokhari2 F D Zaman2

      1. School of Mathematics, University of the Witwatersrand, Johannesburg, Private Bag 3 Wits 2050, South Africa
      2. Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, Dhahran, 31261, Saudi Arabia
    • Dates

       
  • Pramana – Journal of Physics | News

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