• 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



      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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