• Multiwave solutions of time-fractional (2 + 1)-dimensional Nizhnik–Novikov–Veselov equations

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    • Keywords

       

      The generalized unifiedmethod; themodified Riemann–Liouville derivative; time-fractional (2+1)- dimensional Nizhnik–Novikov–Veselov equations; multiwave solutions

    • Abstract

       

      In this paper, we present a generalized unified method for finding multiwave solutions of the timefractional (2+1)-dimensional Nizhnik–Novikov–Veselov equations. The fractional derivatives are described in the modified Riemann–Liouville sense. The fractional complex transform has been suggested to convert fractional order differential equations with modified Riemann–Liouville derivatives into integer-order differential equations, and the reduced equations can be solved by symbolic computation. Multiauxiliary equations have been introduced in this method to obtain not only multisoliton solutions but also multiperiodic or multielliptic solutions. It is shown that the considered method is very effective and convenient for solving wide classes of nonlinear partial differential equations of fractional order.

    • Author Affiliations

       

      M S OSMAN1

      1. Department of Mathematics, Faculty of Science, Cairo University, Giza-Egypt
    • Dates

       
  • Pramana – Journal of Physics | News

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