• Propagation of nonlinear waves with a weak dispersion via coupled (2 + 1)-dimensional Konopelchenko–Dubrovsky dynamical equation

    • Fulltext

       

        Click here to view fulltext PDF


      Permanent link:
      https://www.ias.ac.in/article/fulltext/pram/094/0017

    • Keywords

       

      (2+1)-Dimensional Konopelchenko–Dubrovsky equation; modified extended direct algebraic method; travelling wave solution; Jacobi elliptic function

    • Abstract

       

      This work applies the modified extended direct algebraic method to construct some novel exact travelling wave solutions for the coupled (2 + 1)-dimensional Konopelchenko–Dubrovsky (KD) equation. Soliton, periodic, solitary wave, Jacobi elliptic function, new elliptic, Weierstrass elliptic function solutions and so on are obtained, which have several implementations in the field of applied sciences and engineering. In addition, we discuss the dynamics of some solutions like periodic, soliton and dark-singular combo soliton by their evolutionary shapes.

    • Author Affiliations

       

      ALY R SEADAWY1 DAVID YARO2 DIANCHEN LU2

      1. Faculty of Science, Taibah University, Al-Madinah Al-Munawarah, Saudi Arabia
      2. Faculty of Science, Jiangsu University, Zhenjiang 212013, Jiangsu, People’s Republic of China
    • Dates

       
  • Pramana – Journal of Physics | News

    • Editorial Note on Continuous Article Publication

      Posted on July 25, 2019

      Click here for Editorial Note on CAP Mode

© 2021-2022 Indian Academy of Sciences, Bengaluru.