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    • Soliton solutions of some nonlinear evolution equations with time-dependent coefficients

      Hitender Kumar Anand Malik Fakir Chand

      Brief Reports Volume 80 Issue 2 February 2013 pp 361-367

    • Fulltext

       

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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pram/080/02/0361-0367

    • Keywords

       

      Dark and bright soliton; KdV equation; nonlinear Schrödinger equation; $G(m, n)$ equation.

    • Abstract

       

      In this paper, we obtain exact soliton solutions of the modified KdV equation, inho-mogeneous nonlinear Schrödinger equation and $G(m, n)$ equation with variable coefficients using solitary wave ansatz. The constraint conditions among the time-dependent coefficients turn out as necessary conditions for the solitons to exist. Numerical simulations for dark and bright soliton solutions for the mKdV equation are also given.

    • Author Affiliations

       

      Hitender Kumar1 Anand Malik1 Fakir Chand1

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

    • Dates

       
      Published
      February 2013
      Manuscript received
      14 March 2012
      Manuscript revised
      3 July 2012
      Accepted
      24 July 2012

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