Travelling waves solutions of the KP equation in weakly dispersive media-Reference-Cited by-同舟云学术

Travelling waves solutions of the KP equation in weakly dispersive media

Published:2022-01-01 Issue:1 Volume:20 Page:715-723
ISSN:2391-5471
Container-title:Open Physics
language:en
Short-container-title:

Author:

Althobaiti Ali¹

Affiliation:

1. Department of Mathematics, College of Science, Taif University , P.O. Box 11099 , Taif 21944 , Saudi Arabia

Abstract

Abstract The current work focuses on the solutions of the Kadomtsev and Petviashvili (KP) equation, which models nonlinear waves in a dispersive medium. The modified auxiliary equation approach is utilized to find analytical solutions of the KP equation. Consequently, a set of solutions including Jacobi elliptic solutions and solitary and periodic waves solutions is obtained. The geometry of the derived solutions is plotted with an appropriate choice of the parameters. It can be seen that the proposed method is powerful and can be used to solve nonlinear partial differential equations due to its simplicity.

Publisher

Walter de Gruyter GmbH

Subject

General Physics and Astronomy

Link

https://www.degruyter.com/document/doi/10.1515/phys-2022-0053/pdf

Reference35 articles.

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