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

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      https://www.ias.ac.in/article/fulltext/pram/089/03/0049

    • 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

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