Propagation of solitary wave solutions to (4+1)-dimensional Davey–Stewartson–Kadomtsev–Petviashvili equation arise in mathematical physics and stability analysis
This innovative study simulates the (4+1)-dimensional Davey–Stewartson–Kadomtsev–Petviashvili (DSKP) equation, which has anomalous applications in the field of mathematical physics. The current research has two basic pillars. Firstly, numerous novel soliton solutions are synthesised in distinct form...
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| Format: | Article |
| Language: | English |
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Elsevier
2024-06-01
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| Series: | Partial Differential Equations in Applied Mathematics |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S266681812400055X |
| _version_ | 1797220218460700672 |
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| author | M.A. El-Shorbagy Sonia Akram Mati ur Rahman |
| author_facet | M.A. El-Shorbagy Sonia Akram Mati ur Rahman |
| author_sort | M.A. El-Shorbagy |
| collection | DOAJ |
| description | This innovative study simulates the (4+1)-dimensional Davey–Stewartson–Kadomtsev–Petviashvili (DSKP) equation, which has anomalous applications in the field of mathematical physics. The current research has two basic pillars. Firstly, numerous novel soliton solutions are synthesised in distinct formats, such as dark, bright, periodic, combo, W-shape, mixed trigonometric, exponential, and rational, based on the modified sardar sub-equation (MSSE) method and the improved F-expansion method. Secondly, the stability analysis of the selected model is manifested to study modulation instability (MI) gain. Furthermore, for the physical demonstration of the acquired solutions in 3D and 2D, contour and density plots are depicted. The discovered results have a distinctive feature that has not been developed before and indicate a good balance between the nonlinear physical components. Also, the resulting structure of the acquired results can enrich the nonlinear dynamical behaviours of the given system and may be useful in many domains, such as mathematical physics and fluid dynamics, as well as demonstrate that the approaches used are effective and worthy of validation. |
| first_indexed | 2024-04-24T12:46:03Z |
| format | Article |
| id | doaj.art-a8d8dd0e8e284c5793b505c11e4299c7 |
| institution | Directory Open Access Journal |
| issn | 2666-8181 |
| language | English |
| last_indexed | 2024-04-24T12:46:03Z |
| publishDate | 2024-06-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Partial Differential Equations in Applied Mathematics |
| spelling | doaj.art-a8d8dd0e8e284c5793b505c11e4299c72024-04-07T04:36:54ZengElsevierPartial Differential Equations in Applied Mathematics2666-81812024-06-0110100669Propagation of solitary wave solutions to (4+1)-dimensional Davey–Stewartson–Kadomtsev–Petviashvili equation arise in mathematical physics and stability analysisM.A. El-Shorbagy0Sonia Akram1Mati ur Rahman2Department of Mathematics, College of Science and Humanities in Al-Kharj, Prince Sattam bin Abdulaziz University, Al-Kharj 11942, Saudi Arabia; Department of Basic Engineering Science, Faculty of Engineering, Menoufia University, Shebin El-Kom 32511, EgyptDepartment of mathematics, Faculty of Science, University of Gujrat, Gujrat 50700, PakistanSchool of Mathematical Sciences, Jiangsu University, Zhenjiang 212013, Jiangsu, PR China; Department of Computer Science and Mathematics, Lebanese American University, Beirut, Lebanon; Corresponding author at: School of Mathematical Sciences, Jiangsu University, Zhenjiang 212013, Jiangsu, PR China.This innovative study simulates the (4+1)-dimensional Davey–Stewartson–Kadomtsev–Petviashvili (DSKP) equation, which has anomalous applications in the field of mathematical physics. The current research has two basic pillars. Firstly, numerous novel soliton solutions are synthesised in distinct formats, such as dark, bright, periodic, combo, W-shape, mixed trigonometric, exponential, and rational, based on the modified sardar sub-equation (MSSE) method and the improved F-expansion method. Secondly, the stability analysis of the selected model is manifested to study modulation instability (MI) gain. Furthermore, for the physical demonstration of the acquired solutions in 3D and 2D, contour and density plots are depicted. The discovered results have a distinctive feature that has not been developed before and indicate a good balance between the nonlinear physical components. Also, the resulting structure of the acquired results can enrich the nonlinear dynamical behaviours of the given system and may be useful in many domains, such as mathematical physics and fluid dynamics, as well as demonstrate that the approaches used are effective and worthy of validation.http://www.sciencedirect.com/science/article/pii/S266681812400055XSoliton solutions(4+1)-dimensional DSKP equationThe MSSE schemeThe improved ℱ-expansion methodStability analysis |
| spellingShingle | M.A. El-Shorbagy Sonia Akram Mati ur Rahman Propagation of solitary wave solutions to (4+1)-dimensional Davey–Stewartson–Kadomtsev–Petviashvili equation arise in mathematical physics and stability analysis Partial Differential Equations in Applied Mathematics Soliton solutions (4+1)-dimensional DSKP equation The MSSE scheme The improved ℱ-expansion method Stability analysis |
| title | Propagation of solitary wave solutions to (4+1)-dimensional Davey–Stewartson–Kadomtsev–Petviashvili equation arise in mathematical physics and stability analysis |
| title_full | Propagation of solitary wave solutions to (4+1)-dimensional Davey–Stewartson–Kadomtsev–Petviashvili equation arise in mathematical physics and stability analysis |
| title_fullStr | Propagation of solitary wave solutions to (4+1)-dimensional Davey–Stewartson–Kadomtsev–Petviashvili equation arise in mathematical physics and stability analysis |
| title_full_unstemmed | Propagation of solitary wave solutions to (4+1)-dimensional Davey–Stewartson–Kadomtsev–Petviashvili equation arise in mathematical physics and stability analysis |
| title_short | Propagation of solitary wave solutions to (4+1)-dimensional Davey–Stewartson–Kadomtsev–Petviashvili equation arise in mathematical physics and stability analysis |
| title_sort | propagation of solitary wave solutions to 4 1 dimensional davey stewartson kadomtsev petviashvili equation arise in mathematical physics and stability analysis |
| topic | Soliton solutions (4+1)-dimensional DSKP equation The MSSE scheme The improved ℱ-expansion method Stability analysis |
| url | http://www.sciencedirect.com/science/article/pii/S266681812400055X |
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