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    • Application of the ($G'/G$)-expansion method for the Burgers, Burgers–Huxley and modified Burgers–KdV equations

      H Kheiri M R Moghaddam V Vafaei

      Volume 76 Issue 6 June 2011 pp 831-842

    • Fulltext

       

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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pram/076/06/0831-0842

    • Keywords

       

      ($G'/G$)-expansion method; Burgers equation; Burgers–Huxley equation; modified Burgers–KdV equation; travelling wave solutions.

    • Abstract

       

      In this work, we present travelling wave solutions for the Burgers, Burgers–Huxley and modified Burgers–KdV equations. The ($G'/G$)-expansion method is used to determine travelling wave solutions of these sets of equations. The travelling wave solutions are expressed by the hyperbolic functions, the trigonometric functions and the rational functions. It is shown that the proposed method is direct, effective and can be used for many other nonlinear evolution equations in mathematical physics.

    • Author Affiliations

       

      H Kheiri1 M R Moghaddam1 V Vafaei1

      1. Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran

    • Dates

       
      Published
      June 2011
      Manuscript received
      8 May 2010
      Manuscript revised
      2 November 2010
      Accepted
      2 December 2010

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