Higher Dimensional Kadomtsev–Petviashvili Equation: New Collision Phenomena
This article analyzes the dynamics of waves to a new higher dimensional Kadomtsev−Petviashvili equation. The higher dimensional Kadomtsev−Petviashvili equation and its expansions have attracted a great deal of scientific interest during the past few decades. Several nonlinear phenomena in a range of...
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| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2024-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2024/8889808 |
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| author | Hajar F. Ismael Usman Younas Tukur Abdulkadir Sulaiman Muhammad Amin S. Murad Nehad Ali Shah Shams Forruque Ahmed |
| author_facet | Hajar F. Ismael Usman Younas Tukur Abdulkadir Sulaiman Muhammad Amin S. Murad Nehad Ali Shah Shams Forruque Ahmed |
| author_sort | Hajar F. Ismael |
| collection | DOAJ |
| description | This article analyzes the dynamics of waves to a new higher dimensional Kadomtsev−Petviashvili equation. The higher dimensional Kadomtsev−Petviashvili equation and its expansions have attracted a great deal of scientific interest during the past few decades. Several nonlinear phenomena in a range of domains, like the dynamics of long waves with modest amplitudes in oceans and plasma physics, are studied using this family. In this study, we successfully apply the Hirota bilinear method with the adoption of several test strategies. A set of results like breather, two-wave, and lump periodic solutions are secured. To visually depict the output, a variety of graphs featuring distinct shapes are produced in response to appropriate parameter values. The computational complexities and results emphasize the transparency, effectiveness, and ease of the technique, indicating the method’s applicability to many kinds of both static and dynamic nonlinear equations regarding evolutionary phenomena in computational physics, as well as other practical domains and research fields. |
| format | Article |
| id | doaj-art-ff38fced98dc4905907d392433e15bf3 |
| institution | Kabale University |
| issn | 1687-9139 |
| language | English |
| publishDate | 2024-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-ff38fced98dc4905907d392433e15bf32024-12-02T09:02:44ZengWileyAdvances in Mathematical Physics1687-91392024-01-01202410.1155/2024/8889808Higher Dimensional Kadomtsev–Petviashvili Equation: New Collision PhenomenaHajar F. Ismael0Usman Younas1Tukur Abdulkadir Sulaiman2Muhammad Amin S. Murad3Nehad Ali Shah4Shams Forruque Ahmed5Department of MathematicsDepartment of MathematicsDepartment of Computer Science and MathematicsDepartment of MathematicsDepartment of Mathematics and StatisticsDepartment of Mathematics & PhysicsThis article analyzes the dynamics of waves to a new higher dimensional Kadomtsev−Petviashvili equation. The higher dimensional Kadomtsev−Petviashvili equation and its expansions have attracted a great deal of scientific interest during the past few decades. Several nonlinear phenomena in a range of domains, like the dynamics of long waves with modest amplitudes in oceans and plasma physics, are studied using this family. In this study, we successfully apply the Hirota bilinear method with the adoption of several test strategies. A set of results like breather, two-wave, and lump periodic solutions are secured. To visually depict the output, a variety of graphs featuring distinct shapes are produced in response to appropriate parameter values. The computational complexities and results emphasize the transparency, effectiveness, and ease of the technique, indicating the method’s applicability to many kinds of both static and dynamic nonlinear equations regarding evolutionary phenomena in computational physics, as well as other practical domains and research fields.http://dx.doi.org/10.1155/2024/8889808 |
| spellingShingle | Hajar F. Ismael Usman Younas Tukur Abdulkadir Sulaiman Muhammad Amin S. Murad Nehad Ali Shah Shams Forruque Ahmed Higher Dimensional Kadomtsev–Petviashvili Equation: New Collision Phenomena Advances in Mathematical Physics |
| title | Higher Dimensional Kadomtsev–Petviashvili Equation: New Collision Phenomena |
| title_full | Higher Dimensional Kadomtsev–Petviashvili Equation: New Collision Phenomena |
| title_fullStr | Higher Dimensional Kadomtsev–Petviashvili Equation: New Collision Phenomena |
| title_full_unstemmed | Higher Dimensional Kadomtsev–Petviashvili Equation: New Collision Phenomena |
| title_short | Higher Dimensional Kadomtsev–Petviashvili Equation: New Collision Phenomena |
| title_sort | higher dimensional kadomtsev petviashvili equation new collision phenomena |
| url | http://dx.doi.org/10.1155/2024/8889808 |
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