• Lie symmetry analysis and soliton solutions of time-fractional $K(m, n)$ equation

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    • Keywords

       

      Lie symmetries; time-fractional $K(m, n)$ equation; Erdélyi–Kober fractional derivative; Riemann– Liouville derivatives; soliton solutions.

    • Abstract

       

      In this note, method of Lie symmetries is applied to investigate symmetry properties of timefractional $K(m, n)$ equation with the Riemann–Liouville derivatives. Reduction of time-fractional $K(m, n)$ equation is done by virtue of the Erdélyi–Kober fractional derivative which depends on a parameter α. Thensoliton solutions are extracted by means of a transformation.

    • Author Affiliations

       

      G W WANG1 M S HASHEMI2

      1. chool of Mathematics and Statistics, Beijing Institute of Technology, Beijing 100081, People’s Republic of China
      2. Department of Mathematics, Basic Science Faculty, University of Bonab, P.O. Box 55517-61167, Bonab, Iran
    • Dates

       
  • Pramana – Journal of Physics | News

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