Simulation of a Combined (2+1)-Dimensional Potential Kadomtsev-Petviashvili Equation via Two Different Methods
MATHEMATICS, vol.12, no.3, 2024 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 12 Issue: 3
- Publication Date: 2024
- Doi Number: 10.3390/math12030427
- Journal Name: MATHEMATICS
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, Metadex, zbMATH, Directory of Open Access Journals, Civil Engineering Abstracts
- Keywords: exact solution, exponential rational function technique, generalized Kudrayshov technique, stability analysis, symbolic computation
- Bursa Uludag University Affiliated: Yes
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.