Simulation of a Combined (2+1)-Dimensional Potential Kadomtsev–Petviashvili Equation via Two Different Methods

Muath Awadalla (), Arzu Akbulut () and Jihan Alahmadi ()
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Muath Awadalla: Department of Mathematics and Statistics, College of Science, King Faisal University, Hafuf 31982, Saudi Arabia
Arzu Akbulut: Department of Mathematics, Arts and Science Faculty, Bursa Uludag University, Bursa 16059, Turkey
Jihan Alahmadi: Department of Mathematics, College of Science and Humanities in Al-Kharj, Prince Sattam Bin Abdulaziz University, Al-Kharj 11942, Saudi Arabia

Mathematics, 2024, vol. 12, issue 3, 1-13

Abstract: This paper presents an investigation into original analytical solutions of the (2+1)-dimensional combined potential Kadomtsev–Petviashvili and B-type Kadomtsev–Petviashvili equations. For this purpose, the generalized Kudryashov technique (GKT) and exponential rational function technique (ERFT) have been applied to deal with the equation. These two methods have been applied to the model for the first time, and the the generalized Kudryashov method has an important place in the literature. The characteristics of solitons are unveiled through the use of three-dimensional, two-dimensional, contour, and density plots. Furthermore, we conducted a stability analysis on the acquired results. The results obtained in the article were seen to be different compared to other results in the literature and have not been published anywhere before.

Keywords: exact solution; stability analysis; symbolic computation; generalized Kudrayshov technique; exponential rational function technique (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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