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

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      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

       
  • Pramana – Journal of Physics | News

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      Posted on July 25, 2019

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