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    • The functional variable method for finding exact solutions of some nonlinear time-fractional differential equations

      Wenjun Liu Kewang Chen

      Volume 81 Issue 3 September 2013 pp 377-384

    • Fulltext

       

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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pram/081/03/0377-0384

    • Keywords

       

      Exact solutions; functional variable method; time-fractional Klein–Gordon equation; time-fractional Hirota–Satsuma coupled KdV system; nonlinear time-fractional differential equations.

    • Abstract

       

      In this paper, we implemented the functional variable method and the modified Riemann–Liouville derivative for the exact solitary wave solutions and periodic wave solutions of the time-fractional Klein–Gordon equation, and the time-fractional Hirota–Satsuma coupled KdV system. This method is extremely simple but effective for handling nonlinear time-fractional differential equations.

    • Author Affiliations

       

      Wenjun Liu1 Kewang Chen1

      1. College of Mathematics and Statistics, Nanjing University of Information Science and Technology, Nanjing 210044, China

    • Dates

       
      Published
      September 2013
      Manuscript received
      3 February 2013
      Accepted
      17 April 2013

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