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Analytical Wave Solutions of (n+1)-Dimensional Generalized KP Equation | ||
| Computational Methods for Differential Equations | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 28 آذر 1404 اصل مقاله (1020.16 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22034/cmde.2025.62346.2741 | ||
| نویسندگان | ||
| Ali Danladi1؛ Hadi Rezazadeh2؛ Ibrahim Isa Adamu3؛ Mohammad Ali Hosseinzadeh* 2؛ Soheil Salahshour4 | ||
| 1Department of Mathematics, Federal University, Dutse, Nigeria. | ||
| 2Faculty of Engineering Modern Technologies, Amol University of Special Modern Technologies, Amol, Iran. | ||
| 3Department of Mathematics, Faculty of Natural and Applied Sciences, Nigerian Army University Biu, Nigeria. | ||
| 4Faculty of Engineering and Natural Sciences, Istanbul Okan University, Istanbul, Turkey. | ||
| چکیده | ||
| 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. | ||
| کلیدواژهها | ||
| IMSSEM؛ IGREMM؛ (n+1)-Dimensional Generalized KP Equation؛ Solitary Wave Solutions؛ Nonlinear PDEs | ||
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