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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pram/086/06/1253-1258

    • Keywords

       

      Variable coefficient reaction-diffusion equation; solitary wave solution; cubic–quintic nonlinearity.

    • Abstract

       

      Attempts have been made to explore the exact periodic and solitary wave solutions of nonlinear reaction diffusion (RD) equation involving cubic–quintic nonlinearity along with timedependent convection coefficients. Effect of varying model coefficients on the physical parameters of solitary wave solutions is demonstrated. Depending upon the parametric condition, the periodic,double-kink, bell and antikink-type solutions for cubic–quintic nonlinear reaction-diffusion equation are extracted. Such solutions can be used to explain various biological and physical phenomena.

    • Author Affiliations

       

      BHARDWAJ S B1 2 SINGH RAM MEHAR1 SHARMA KUSHAL3 MISHRA S C4

      1. Department of Physics, Chaudhary Devi Lal University, Sirsa 125 055, India
      2. Department of Physics, J.M.I.E.T. Institute, Radaur 132 133, India
      3. Department of Mathematics, National Institute of Technology, Delhi 110 040, India
      4. Department of Physics, Kurukshetra University, Kurukshetra 136 119, India

    • Dates

       
      Published
      16 June 2016
      Manuscript received
      7 November 2014
      Manuscript revised
      4 May 2015
      Accepted
      7 July 2015
      Early published
      3 February 2016

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