• Solitary wave solutions for some nonlinear time-fractional partial differential equations

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    • Keywords

       

      Nonlinear fractional differential equation; Riccati–Bernoulli sub-ODE method; fractional modified equal width equation; time-fractional Hirota–Satsuma coupled KdV system; solitary wave solutions; exact solution

    • Abstract

       

      In this work, we have considered the Riccati–Bernoulli sub-ODE method for obtaining the exact solutions of nonlinear fractional-order differential equations. The fractional derivatives are described in Jumarie’smodified Riemann–Liouville sense. The space–time fractional modified equal width (mEW) equation and timefractional generalised Hirota–Satsuma coupled Korteweg–de Vries (KdV) equations are considered for illustrating the effectiveness of the algorithm. It has been observed that all exact solutions obtained in this paper verify the nonlinear ordinary differential equations (ODEs), which were obtained from the nonlinear fractional-order differential equations under the terms of wave transformation relationship. The obtained results are shown graphically.

    • Author Affiliations

       

      S Z HASSAN1 MAHMOUD A E ABDELRAHMAN2

      1. College of Science and Human Studies, Imam Abdulrahman Bin Faisal University, Jubail, Saudi Arabia
      2. Department of Mathematics, Faculty of Science, Mansoura University, El Gomhouria St, Mansoura, Dakahlia Governorate 35516, Egypt
    • Dates

       
  • Pramana – Journal of Physics | News

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