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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pram/078/04/0513-0529

    • Keywords

       

      Nonlinear evolution equation; soliton; kink–antikink solution.

    • Abstract

       

      The ($G'/G$)-expansion method and its simplified version are used to obtain generalized travelling wave solutions of five nonlinear evolution equations (NLEEs) of physical importance, viz. the ($2+1$)-dimensional Maccari system, the Pochhammer–Chree equation, the Newell–Whitehead equation, the Fitzhugh–Nagumo equation and the Burger–Fisher equation. A variety of special solutions like periodic, kink–antikink solitons, bell-type solitons etc. can easily be derived from the general results. Three-dimensional profile plots of some of the solutions are also drawn.

    • Author Affiliations

       

      Anand Malik1 Fakir Chand1 Hitender Kumar1 S C Mishra1

      1. Department of Physics, Kurukshetra University, Kurukshetra 136 119, India

    • Dates

       
      Published
      April 2012
      Manuscript received
      9 February 2011
      Manuscript revised
      12 October 2011
      Accepted
      8 November 2011

  • Pramana – Journal of Physics | News

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      Posted on July 25, 2019

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