• Exact travelling wave solutions of the (3+1)-dimensional mKdV-ZK equation and the (1+1)-dimensional compound KdVB equation using the new approach of generalized ($G'/G$)-expansion method

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      https://www.ias.ac.in/article/fulltext/pram/083/03/0317-0329

    • Keywords

       

      The new generalized $(G'/G)$-expansion method; the (3+1)-dimensional mKdV-ZK equation and the (1+1)-dimensional compound KdVB equation; nonlinear partial differential equation; travelling wave solutions.

    • Abstract

       

      In this paper, the new generalized ($G'/G$)-expansion method is executed to find the travelling wave solutions of the (3+1)-dimensional mKdV-ZK equation and the (1+1)-dimensional compound KdVB equation. The efficiency of this method for finding exact and travelling wave solutions has been demonstrated. It is shown that the new approach of generalized ($G'/G$)-expansion method is a straightforward and effective mathematical tool for solving nonlinear evolution equations in applied mathematics, mathematical physics and engineering. Moreover, this procedure reduces the large volume of calculations.

    • Author Affiliations

       

      Md Nur Alam1 M Ali Akbar2 M Fazlul Hoque1

      1. Department of Mathematics, Pabna University of Science and Technology, Pabna, Bangladesh
      2. Department of Applied Mathematics, University of Rajshahi, Rajshahi, Bangladesh
    • Dates

       
  • Pramana – Journal of Physics | News

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