• Exact travelling wave solutions for some important nonlinear physical models

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      https://www.ias.ac.in/article/fulltext/pram/080/05/0757-0769

    • Keywords

       

      Exact travelling wave solutions; nonlinear physical models; Kudryashov method.

    • Abstract

       

      The two-dimensional nonlinear physical models and coupled nonlinear systems such as Maccari equations, Higgs equations and Schrödinger–KdV equations have been widely applied in many branches of physics. So, finding exact travelling wave solutions of such equations are very helpful in the theories and numerical studies. In this paper, the Kudryashov method is used to seek exact travelling wave solutions of such physical models. Further, three-dimensional plots of some of the solutions are also given to visualize the dynamics of the equations. The results reveal that the method is a very effective and powerful tool for solving nonlinear partial differential equations arising in mathematical physics.

    • Author Affiliations

       

      Jonu Lee1 Rathinasamy Sakthivel2

      1. School of Mathematics and Applied Statistics, University of Wollongong, Wollongong, NSW 2522, Australia
      2. Department of Mathematics, Sungkyunkwan University, Suwon 440-746, South Korea
    • Dates

       
  • Pramana – Journal of Physics | News

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      Posted on July 25, 2019

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