Integrated Jacobi elliptic function solutions to the (3+1)-dimensional generalized Kadomtsev–Petviashvili equation by utilizing new solutions of the elliptic equation of order six
In this research, the generalized (3+1)-dimensional Kadomtsev–Petviashvili equation ((3+1)-GKPE) that expresses various nonlinear phenomena was studied. An extended Jacobi elliptic function expansion method (JEFEM) was developed by considering new solutions for the Jacobi elliptic equation of order...
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| Format: | Article |
| Language: | English |
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Elsevier
2024-12-01
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| Series: | Partial Differential Equations in Applied Mathematics |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S2666818124003401 |
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| author | Ahmad H. Alkasasbeh Belal Al-Khamaiseh Ahmad T. Ali |
| author_facet | Ahmad H. Alkasasbeh Belal Al-Khamaiseh Ahmad T. Ali |
| author_sort | Ahmad H. Alkasasbeh |
| collection | DOAJ |
| description | In this research, the generalized (3+1)-dimensional Kadomtsev–Petviashvili equation ((3+1)-GKPE) that expresses various nonlinear phenomena was studied. An extended Jacobi elliptic function expansion method (JEFEM) was developed by considering new solutions for the Jacobi elliptic equation of order six. Then the extended method was applied to the (3+1)-GKPE, where new exact Jacobi elliptic function solutions were obtained. This equation is of particular interest as it required a special transformation in order to apply the JEFEM. Moreover, some of the solutions are shown graphically. |
| format | Article |
| id | doaj-art-b202652926194e7481e16b73341b4d59 |
| institution | Kabale University |
| issn | 2666-8181 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Partial Differential Equations in Applied Mathematics |
| spelling | doaj-art-b202652926194e7481e16b73341b4d592024-12-13T11:05:42ZengElsevierPartial Differential Equations in Applied Mathematics2666-81812024-12-0112100954Integrated Jacobi elliptic function solutions to the (3+1)-dimensional generalized Kadomtsev–Petviashvili equation by utilizing new solutions of the elliptic equation of order sixAhmad H. Alkasasbeh0Belal Al-Khamaiseh1Ahmad T. Ali2School of Foundation Studies and Mathematics, Oryx Universal College in partnership with Liverpool John Moores University, Doha P.O. Box 12253, Qatar; Corresponding author.Department of Mathematics and Sciences, Rochester Institute of Technology-Dubai, P.O. Box 341055, Dubai, United Arab EmiratesFaculty of Science, Department of Mathematics, King Abdulaziz University, PO Box 80203, Jeddah, 21589, Saudi Arabia; Faculty of Science, Department of Mathematics, Al-Azhar University, Nasr City, 11884, Cairo, EgyptIn this research, the generalized (3+1)-dimensional Kadomtsev–Petviashvili equation ((3+1)-GKPE) that expresses various nonlinear phenomena was studied. An extended Jacobi elliptic function expansion method (JEFEM) was developed by considering new solutions for the Jacobi elliptic equation of order six. Then the extended method was applied to the (3+1)-GKPE, where new exact Jacobi elliptic function solutions were obtained. This equation is of particular interest as it required a special transformation in order to apply the JEFEM. Moreover, some of the solutions are shown graphically.http://www.sciencedirect.com/science/article/pii/S2666818124003401(3 + 1)-dimensional generalized KP equationJacobi elliptic equation of order sixJacobi elliptic function expansion method |
| spellingShingle | Ahmad H. Alkasasbeh Belal Al-Khamaiseh Ahmad T. Ali Integrated Jacobi elliptic function solutions to the (3+1)-dimensional generalized Kadomtsev–Petviashvili equation by utilizing new solutions of the elliptic equation of order six Partial Differential Equations in Applied Mathematics (3 + 1)-dimensional generalized KP equation Jacobi elliptic equation of order six Jacobi elliptic function expansion method |
| title | Integrated Jacobi elliptic function solutions to the (3+1)-dimensional generalized Kadomtsev–Petviashvili equation by utilizing new solutions of the elliptic equation of order six |
| title_full | Integrated Jacobi elliptic function solutions to the (3+1)-dimensional generalized Kadomtsev–Petviashvili equation by utilizing new solutions of the elliptic equation of order six |
| title_fullStr | Integrated Jacobi elliptic function solutions to the (3+1)-dimensional generalized Kadomtsev–Petviashvili equation by utilizing new solutions of the elliptic equation of order six |
| title_full_unstemmed | Integrated Jacobi elliptic function solutions to the (3+1)-dimensional generalized Kadomtsev–Petviashvili equation by utilizing new solutions of the elliptic equation of order six |
| title_short | Integrated Jacobi elliptic function solutions to the (3+1)-dimensional generalized Kadomtsev–Petviashvili equation by utilizing new solutions of the elliptic equation of order six |
| title_sort | integrated jacobi elliptic function solutions to the 3 1 dimensional generalized kadomtsev petviashvili equation by utilizing new solutions of the elliptic equation of order six |
| topic | (3 + 1)-dimensional generalized KP equation Jacobi elliptic equation of order six Jacobi elliptic function expansion method |
| url | http://www.sciencedirect.com/science/article/pii/S2666818124003401 |
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