• Modified KdV–Zakharov–Kuznetsov dynamical equation in a homogeneous magnetised electron–positron–ion plasma and its dispersive solitary wave solutions

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    • Keywords

       

      Modified extended mapping method; three-dimensional modified Korteweg–de Vries–Zakharov– Kuznetsov equation; homogeneous magnetised electron–positron–ion plasma; ion-acoustic solitary waves; electrostatic field potential; electric and magnetic fields; quantum statistical pressure; graphical representation

    • Abstract

       

      Propagation of three-dimensional nonlinear ion-acoustic solitary waves and shocks in a homogeneous magnetised electron–positron–ion plasma is analysed. Modified extended mapping method is introduced to find ion-acoustic solitary wave solutions of the three-dimensional modified Korteweg–de Vries–Zakharov–Kuznetsov equation. As a result, solitary wave solutions (which represent electrostatic field potential), electric fields, magneticfields and quantum statistical pressures are obtained with the aid of Mathematica. These new exact solitary wave solutions are obtained in different forms such as periodic, kink and antikink, dark soliton, bright soliton, bright and dark solitary wave etc. The results are expressed in the forms of hyperbolic, trigonometric, exponential and rational functions. The electrostatic field potential and electric and magnetic fields are shown graphically. Theseresults demonstrate the efficiency and precision of the method that can be applied to many other mathematical and physical problems.

    • Author Affiliations

       

      ABDULLAH 1 ALY R SEADAWY2 3 JUN WANG1

      1. Department of Mathematics, Faculty of Science, Jiangsu University, Zhenjiang, Jiangsu, People’s Republic of China
      2. Mathematics Department, Faculty of Science, Taibah University, Al-Madinah Al-Munawarah, Saudi Arabia
      3. Mathematics Department, Faculty of Science, Beni-Suef University, Beni Suef, Egypt
    • Dates

       
  • Pramana – Journal of Physics | News

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