Abundant novel stochastic fractional solitary wave solutions of a new extended (3+1)-dimensional Kadomtsev–Petviashvili equation
The (3+1)-dimensional Kadomtsev–Petviashvili equation arises in various physical contexts, including fluid mechanics, plasma physics, and nonlinear optics. Exact solutions play a vital role in understanding the physical behavior of a system. The conformable derivative generalizes the classical diffe...
Saved in:
| Main Authors: | , , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2025-04-01
|
| Series: | Alexandria Engineering Journal |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S1110016825001036 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832573228440092672 |
|---|---|
| author | Amjad E. Hamza Khidir Shaib Mohamed Alaa Mustafa Khaled Aldwoah Mohammed Hassan Hicham Saber |
| author_facet | Amjad E. Hamza Khidir Shaib Mohamed Alaa Mustafa Khaled Aldwoah Mohammed Hassan Hicham Saber |
| author_sort | Amjad E. Hamza |
| collection | DOAJ |
| description | The (3+1)-dimensional Kadomtsev–Petviashvili equation arises in various physical contexts, including fluid mechanics, plasma physics, and nonlinear optics. Exact solutions play a vital role in understanding the physical behavior of a system. The conformable derivative generalizes the classical differential operator and is useful in analyzing the wave dynamics of integrable systems. In this article, the modified extended tanh technique is implemented to uncover new solitary wave solutions of the KP equation. The results obtained via modified extended tanh technique yield bright, dark, and periodic solitary waves. Additionally, we implement the generalized Kudryashov technique to deduce more solitary wave solutions of the considered equation. The solutions obtained using the generalized Kudryashov method exhibit horse-shoe-like, bell-shaped, and W-shaped solitary waves. The obtained results are simulated both with and without the effect of noise, and are displayed in 3D and 2D graphs. The effect of the conformable fractional order on the amplitude and propagation of the solitary waves is visualized via these graphs. |
| format | Article |
| id | doaj-art-8f5f7304941d441a8aa1e98a2304e97d |
| institution | Kabale University |
| issn | 1110-0168 |
| language | English |
| publishDate | 2025-04-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Alexandria Engineering Journal |
| spelling | doaj-art-8f5f7304941d441a8aa1e98a2304e97d2025-02-02T05:26:52ZengElsevierAlexandria Engineering Journal1110-01682025-04-011194555Abundant novel stochastic fractional solitary wave solutions of a new extended (3+1)-dimensional Kadomtsev–Petviashvili equationAmjad E. Hamza0Khidir Shaib Mohamed1Alaa Mustafa2Khaled Aldwoah3Mohammed Hassan4Hicham Saber5Department of Mathematics, College of Science, University of Ha’il, 55473 Ha’il, Saudi ArabiaDepartment of Mathematics, College of Science, Qassim University, Buraydah 51452, Saudi Arabia; Corresponding authors.Department of Mathematics, Faculty of Science, Northern Border University, Arar, Saudi ArabiaDepartment of Mathematics, Faculty of Science, Islamic University of Madinah, Medinah 42351, Saudi Arabia; Corresponding authors.Department of Mathematics, Faculty of Science, University of Tabuk, P.O. Box 741, Tabuk 71491, Saudi ArabiaDepartment of Mathematics, College of Science, University of Ha’il, 55473 Ha’il, Saudi ArabiaThe (3+1)-dimensional Kadomtsev–Petviashvili equation arises in various physical contexts, including fluid mechanics, plasma physics, and nonlinear optics. Exact solutions play a vital role in understanding the physical behavior of a system. The conformable derivative generalizes the classical differential operator and is useful in analyzing the wave dynamics of integrable systems. In this article, the modified extended tanh technique is implemented to uncover new solitary wave solutions of the KP equation. The results obtained via modified extended tanh technique yield bright, dark, and periodic solitary waves. Additionally, we implement the generalized Kudryashov technique to deduce more solitary wave solutions of the considered equation. The solutions obtained using the generalized Kudryashov method exhibit horse-shoe-like, bell-shaped, and W-shaped solitary waves. The obtained results are simulated both with and without the effect of noise, and are displayed in 3D and 2D graphs. The effect of the conformable fractional order on the amplitude and propagation of the solitary waves is visualized via these graphs.http://www.sciencedirect.com/science/article/pii/S1110016825001036Conformable operatorW-shaped solitonThe generalized kudryashov methodFractional derivatives |
| spellingShingle | Amjad E. Hamza Khidir Shaib Mohamed Alaa Mustafa Khaled Aldwoah Mohammed Hassan Hicham Saber Abundant novel stochastic fractional solitary wave solutions of a new extended (3+1)-dimensional Kadomtsev–Petviashvili equation Alexandria Engineering Journal Conformable operator W-shaped soliton The generalized kudryashov method Fractional derivatives |
| title | Abundant novel stochastic fractional solitary wave solutions of a new extended (3+1)-dimensional Kadomtsev–Petviashvili equation |
| title_full | Abundant novel stochastic fractional solitary wave solutions of a new extended (3+1)-dimensional Kadomtsev–Petviashvili equation |
| title_fullStr | Abundant novel stochastic fractional solitary wave solutions of a new extended (3+1)-dimensional Kadomtsev–Petviashvili equation |
| title_full_unstemmed | Abundant novel stochastic fractional solitary wave solutions of a new extended (3+1)-dimensional Kadomtsev–Petviashvili equation |
| title_short | Abundant novel stochastic fractional solitary wave solutions of a new extended (3+1)-dimensional Kadomtsev–Petviashvili equation |
| title_sort | abundant novel stochastic fractional solitary wave solutions of a new extended 3 1 dimensional kadomtsev petviashvili equation |
| topic | Conformable operator W-shaped soliton The generalized kudryashov method Fractional derivatives |
| url | http://www.sciencedirect.com/science/article/pii/S1110016825001036 |
| work_keys_str_mv | AT amjadehamza abundantnovelstochasticfractionalsolitarywavesolutionsofanewextended31dimensionalkadomtsevpetviashviliequation AT khidirshaibmohamed abundantnovelstochasticfractionalsolitarywavesolutionsofanewextended31dimensionalkadomtsevpetviashviliequation AT alaamustafa abundantnovelstochasticfractionalsolitarywavesolutionsofanewextended31dimensionalkadomtsevpetviashviliequation AT khaledaldwoah abundantnovelstochasticfractionalsolitarywavesolutionsofanewextended31dimensionalkadomtsevpetviashviliequation AT mohammedhassan abundantnovelstochasticfractionalsolitarywavesolutionsofanewextended31dimensionalkadomtsevpetviashviliequation AT hichamsaber abundantnovelstochasticfractionalsolitarywavesolutionsofanewextended31dimensionalkadomtsevpetviashviliequation |