Unveiling dynamic solitons in the (2+1)-dimensional Kadomtsev–Petviashvili equation: Insights from fluids and plasma
In this study, we examine soliton solutions of extended (2+1)-dimensional Kadomtsev–Petviashvili equation arising in fluid mechanics and plasma physics. The research utilizes an improved modified extended tanh-function method to derive new soliton solutions. The diverse set of soliton solutions obta...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2024-03-01
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| Series: | Partial Differential Equations in Applied Mathematics |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2666818124000196 |
| _version_ | 1797260372049133568 |
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| author | Hamood Ur Rehman Muhammad Tehseen Hameed Ashraf Aziz Ullah Awan Mohamed R. Ali |
| author_facet | Hamood Ur Rehman Muhammad Tehseen Hameed Ashraf Aziz Ullah Awan Mohamed R. Ali |
| author_sort | Hamood Ur Rehman |
| collection | DOAJ |
| description | In this study, we examine soliton solutions of extended (2+1)-dimensional Kadomtsev–Petviashvili equation arising in fluid mechanics and plasma physics. The research utilizes an improved modified extended tanh-function method to derive new soliton solutions. The diverse set of soliton solutions obtained in this study, featuring a combination of rational, trigonometric, and hyperbolic functions, enhances the model’s applicability for real-world fluid mechanics and plasma physics scenarios. The visual representations of the obtained solutions through contour, three-dimensional, and two-dimensional depictions in various simulations are shown in the figures. The results propose that the employed method is an efficient and powerful tool to be implemented for different differential equations in applied sciences and engineering. |
| first_indexed | 2024-03-08T06:54:24Z |
| format | Article |
| id | doaj.art-d74e60686aac4d2b8db71f2bf0d99eba |
| institution | Directory Open Access Journal |
| issn | 2666-8181 |
| language | English |
| last_indexed | 2024-04-24T23:24:16Z |
| publishDate | 2024-03-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Partial Differential Equations in Applied Mathematics |
| spelling | doaj.art-d74e60686aac4d2b8db71f2bf0d99eba2024-03-16T05:09:33ZengElsevierPartial Differential Equations in Applied Mathematics2666-81812024-03-019100633Unveiling dynamic solitons in the (2+1)-dimensional Kadomtsev–Petviashvili equation: Insights from fluids and plasmaHamood Ur Rehman0Muhammad Tehseen1Hameed Ashraf2Aziz Ullah Awan3Mohamed R. Ali4Department of Mathematics, University of Okara, Okara, PakistanDepartment of Mathematics, University of Okara, Okara, PakistanDepartment of Mathematics, University of Okara, Okara, PakistanDepartment of Mathematics, University of the Punjab, Lahore 54590, PakistanFaculty of Engineering and Technology, Future University in Egypt, New Cairo 11835, Egypt; Basic Engineering Science Department, Benha Faculty of Engineering, Benha University, Benha 13511, Egypt; Corresponding author at: Faculty of Engineering and Technology, Future University in Egypt, New Cairo 11835, Egypt.In this study, we examine soliton solutions of extended (2+1)-dimensional Kadomtsev–Petviashvili equation arising in fluid mechanics and plasma physics. The research utilizes an improved modified extended tanh-function method to derive new soliton solutions. The diverse set of soliton solutions obtained in this study, featuring a combination of rational, trigonometric, and hyperbolic functions, enhances the model’s applicability for real-world fluid mechanics and plasma physics scenarios. The visual representations of the obtained solutions through contour, three-dimensional, and two-dimensional depictions in various simulations are shown in the figures. The results propose that the employed method is an efficient and powerful tool to be implemented for different differential equations in applied sciences and engineering.http://www.sciencedirect.com/science/article/pii/S2666818124000196Extended (2+1)-dimensional Kadomtsev–Petviashvili equationSolitonsImproved modified extended tanh-function method |
| spellingShingle | Hamood Ur Rehman Muhammad Tehseen Hameed Ashraf Aziz Ullah Awan Mohamed R. Ali Unveiling dynamic solitons in the (2+1)-dimensional Kadomtsev–Petviashvili equation: Insights from fluids and plasma Partial Differential Equations in Applied Mathematics Extended (2+1)-dimensional Kadomtsev–Petviashvili equation Solitons Improved modified extended tanh-function method |
| title | Unveiling dynamic solitons in the (2+1)-dimensional Kadomtsev–Petviashvili equation: Insights from fluids and plasma |
| title_full | Unveiling dynamic solitons in the (2+1)-dimensional Kadomtsev–Petviashvili equation: Insights from fluids and plasma |
| title_fullStr | Unveiling dynamic solitons in the (2+1)-dimensional Kadomtsev–Petviashvili equation: Insights from fluids and plasma |
| title_full_unstemmed | Unveiling dynamic solitons in the (2+1)-dimensional Kadomtsev–Petviashvili equation: Insights from fluids and plasma |
| title_short | Unveiling dynamic solitons in the (2+1)-dimensional Kadomtsev–Petviashvili equation: Insights from fluids and plasma |
| title_sort | unveiling dynamic solitons in the 2 1 dimensional kadomtsev petviashvili equation insights from fluids and plasma |
| topic | Extended (2+1)-dimensional Kadomtsev–Petviashvili equation Solitons Improved modified extended tanh-function method |
| url | http://www.sciencedirect.com/science/article/pii/S2666818124000196 |
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