Analytical Wave Solutions of (n+1)-Dimensional Generalized KP Equation

Articles in Press

Document Type : Research Paper

Authors

1 Department of Mathematics, Federal University, Dutse, Nigeria.

2 Faculty of Engineering Modern Technologies, Amol University of Special Modern Technologies, Amol, Iran.

3 Department of Mathematics, Faculty of Natural and Applied Sciences, Nigerian Army University Biu, Nigeria.

4 Faculty of Engineering and Natural Sciences, Istanbul Okan University, Istanbul, Turkey.

Abstract

The KP equation was un folded and developed by Kadomtsev and Petviashvili in the 1970, as a two spatial dimensional analogue of classical KdV equation, which can well replicate nonlinear incident in plasma physics, fluid dynamics, optics and so on. Because of the mathematical and physical outstanding nature, KP equation has attracted the curiosity of contemporary scholars. The purpose of this study is to provide exact solitary wave solutions to the (n+1)-dimensional generalized KP equation using the improved Sardar sub-equation approach and the improved generalized Riccatii equation mapping approach. With these two methods, we were able to investigate the rationale, exponential, trigonometric, and trigonometric hyperbolic solutions of the KP equation. The suggested methods are efficient, and straightforward in computing novel soliton solutions to many types of NLPDEs in applied sciences and engineering. We finally provided the graphical display for some of the obtained exact soliton solutions.

Keywords

Main Subjects

Computational Methods for Differential Equations

Articles in Press, Accepted Manuscript
Available Online from 19 December 2025

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History

  • Receive Date: 04 July 2024
  • Revise Date: 08 December 2025
  • Accept Date: 15 December 2025

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