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

Pramana

Ahmet Bekir1¹  Özkan Güner² 

[1] Department of Mathematics-Computer, Art-Science Faculty, Eskisehir Osmangazi University, Eskisehir, Turkey$$;Department of Management Information Systems, School of Applied Sciences, Dumlupınar University, Kütahya, Turkey$$

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

DOI  :  

学科分类：物理（综合）

来源: Indian Academy of Sciences

【 摘 要 】

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.

【 授权许可】

Unknown