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      https://www.ias.ac.in/article/fulltext/pram/077/02/0263-0275

    • Keywords

       

      ($G'/G$)-expansion method; travelling wave solutions; two-dimensionalsine-Gordon equation; Dodd–Bullough–Mikhailov equation; Schrödinger–KdV equation.

    • Abstract

       

      In this paper, we establish exact solutions for some special nonlinear partial differential equations. The ($G'/G$)-expansion method is used to construct travelling wave solutions of the twodimensional sine-Gordon equation, Dodd–Bullough–Mikhailov and Schrödinger–KdV equations, which appear in many fields such as, solid-state physics, nonlinear optics, fluid dynamics, fluid flow, quantum field theory, electromagnetic waves and so on. In this method we take the advantage of general solutions of second-order linear ordinary differential equation (LODE) to solve many nonlinear evolution equations effectively. The ($G'/G$)-expansion method is direct, concise and elementary and can be used with a wider applicability for handling many nonlinear wave equations.

    • Author Affiliations

       

      B Salim Bahrami1 H Abdollahzadeh2 I M Berijani1 D D Ganji1 M Abdollahzadeh1

      1. Department of Mechanical Engineering, Babol University of Technology, P.O. Box 484, Babol, Iran
      2. Department of Industrial Engineering, University of Kurdistan, Sanandaj, Iran
    • Dates

       
  • Pramana – Journal of Physics | News

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