• Non-local symmetries, exact solutions and conservation laws for the coupled Lakshmanan–Porsezian–Daniel equations

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      https://www.ias.ac.in/article/fulltext/pram/096/0199

    • Keywords

       

      Non-local symmetry; Lie point symmetry; exact solutions; non-local conservation laws.

    • Abstract

       

      The non-local symmetries of the coupled Lakshmanan–Porsezian–Daniel (LPD) equations are obtained with the help of the known Lax pair. By introducing an auxiliary variable, the coupled LPD equations are extended to a closed prolonged system and the non-local symmetries are localised to the Lie point symmetries of the prolonged system. Furthermore, based on the Lie point symmetries of the prolonged system, the exact solutions and non-local conservation laws of the coupled LPD equations are derived.

    • Author Affiliations

       

      FENG ZHANG1 YURU HU1 XIANGPENG XIN1 HANZE LIU1

      1. School of Mathematical Sciences, Liaocheng University, Liaocheng 252059, People’s Republic of China
    • Dates

       
  • Pramana – Journal of Physics | News

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      Posted on July 25, 2019

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