• Solitary wave solutions of two-dimensional nonlinear Kadomtsev–Petviashvili dynamic equation in dust-acoustic plasmas

    • Fulltext


        Click here to view fulltext PDF

      Permanent link:

    • Keywords


      Magnetized plasma; dust-acoustic solitary waves; Kadomtsev–Petviashvili equation; mathematical methods

    • Abstract


      Nonlinear two-dimensional Kadomtsev–Petviashvili (KP) equation governs the behaviour of nonlinear waves in dusty plasmas with variable dust charge and two temperature ions. By using the reductive perturbation method, the two-dimensional dust-acoustic solitary waves (DASWs) in unmagnetized cold plasma consisting of dust fluid, ions and electrons lead to a KP equation. We derived the solitary travelling wave solutions of the twodimensional nonlinear KP equation by implementing sech–tanh, sinh–cosh, extended direct algebraic and fraction direct algebraicmethods. We found the electrostatic field potential and electric field in the form travellingwave solutions for two-dimensional nonlinear KP equation. The solutions for the KP equation obtained by using these methods can be demonstrated precisely and efficiency. As an illustration, we used the readymade package of $\it{Mathematica}$ program 10.1 to solve the original problem. These solutions are in good agreement with the analytical one.

    • Author Affiliations


      ALY R SEADAWY1 2

      1. Mathematics Department, Faculty of Science, Taibah University, Al-Ula, Saudi Arabia
      2. Mathematics Department, Faculty of Science, Beni-Suef University, Beni Suef, Egypt
    • 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.