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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pram/095/0107

    • Keywords

       

      Lie symmetry; Kundu–Eckhaus equation; time-fractional partial differential equation; classical symmetry; non-classical symmetry

    • Abstract

       

      This work provides an analytical investigation of the time-fractional Kundu–Eckhaus (KE) equation. We use the symmetry of the Lie group as an appropriate tool which deals with the wide class of fractional-order differential equations in Riemann–Liouville sense. In the current work, firstly, we employ classical Lie symmetries to obtain similarity reductions of nonlinear generalised time-fractional KE equation. At the final step, we find relevant exact solutions for the extracted generators.

    • Author Affiliations

       

      MIR SAJJAD HASHEMI1 ALI HAJI-BADALI1 FARZANEH ALIZADEH1

      1. Department of Mathematics, Basic Sciences Faculty, University of Bonab, Bonab 55513-95133, Iran
    • Dates

       
  • Pramana – Journal of Physics | News

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      Posted on July 25, 2019

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