• Bright and dark soliton solutions of the $(3 + 1)$-dimensional generalized Kadomtsev–Petviashvili equation and generalized Benjamin equation

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      https://www.ias.ac.in/article/fulltext/pram/081/02/0203-0214

    • Keywords

       

      Exact solutions; dark soliton; bright soliton; $(3 + 1)$-dimensional generalized Kadomtsev–Petviashvili equation; the generalized Benjamin equation.

    • Abstract

       

      In this paper, we obtain the 1-soliton solutions of the $(3 + 1)$-dimensional generalized Kadomtsev–Petviashvili (gKP) equation and the generalized Benjamin equation. By using two solitary wave ansatz in terms of sech$^{p}$ and tanh$^{p}$ functions, we obtain exact analytical bright and dark soliton solutions for the considered model. These solutions may be useful and desirable for explaining some nonlinear physical phenomena in genuinely nonlinear dynamical systems.

    • Author Affiliations

       

      Ahmet Bekir1 Özkan Güner2

      1. Department of Mathematics-Computer, Art-Science Faculty, Eskisehir Osmangazi University, Eskisehir, Turkey
      2. Department of Management Information Systems, School of Applied Sciences, Dumlupınar University, Kütahya, Turkey
    • Dates

       
  • Pramana – Journal of Physics | News

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