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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pram/074/02/0207-0218

    • Keywords

       

      Nonlinear differential-difference equations; the ($G'/G$)-expansion method; hyperbolic function solutions; trigonometric function solutions; rational solutions.

    • Abstract

       

      An improved algorithm is devised for using the ($G'/G$)-expansion method to solve nonlinear differential-difference equations. With the aid of symbolic computation, we choose a discrete nonlinear Schrödinger equation to illustrate the validity and advantages of the improved algorithm. As a result, hyperbolic function solutions, trigonometric function solutions and rational solutions with parameters are obtained, from which some special solutions including the known solitary wave solution are derived by setting the parameters as appropriate values. It is shown that the improved algorithm is effective and can be used for many other nonlinear differential-difference equations in mathematical physics.

    • Author Affiliations

       

      Sheng Zhang1 Ling Dong1 Jin-Mei Ba1 Ying-Na Sun1

      1. Department of Mathematics, Bohai University, Jinzhou 121013, People’s Republic of China
    • Dates

       
  • Pramana – Journal of Physics | News

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      Posted on July 25, 2019

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