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

• # Fulltext

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

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

• # Pramana – Journal of Physics

Volume 95, 2021
All articles
Continuous Article Publishing mode

• # Editorial Note on Continuous Article Publication

Posted on July 25, 2019