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
<p dir="ltr">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 J...
محفوظ في:
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| مؤلفون آخرون: | , |
| منشور في: |
2024
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| الموضوعات: | |
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إضافة وسم
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| _version_ | 1864513552253976576 |
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| author | Ahmad H. Alkasasbeh (20482622) |
| author2 | Belal Al-Khamaiseh (20482625) Ahmad T. Ali (20482628) |
| author2_role | author author |
| author_facet | Ahmad H. Alkasasbeh (20482622) Belal Al-Khamaiseh (20482625) Ahmad T. Ali (20482628) |
| author_role | author |
| dc.creator.none.fl_str_mv | Ahmad H. Alkasasbeh (20482622) Belal Al-Khamaiseh (20482625) Ahmad T. Ali (20482628) |
| dc.date.none.fl_str_mv | 2024-10-30T18:00:00Z |
| dc.identifier.none.fl_str_mv | 10.1016/j.padiff.2024.100954 |
| dc.relation.none.fl_str_mv | https://figshare.com/articles/journal_contribution/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/28105235 |
| dc.rights.none.fl_str_mv | CC BY 4.0 info:eu-repo/semantics/openAccess |
| dc.subject.none.fl_str_mv | Mathematical sciences Applied mathematics Mathematical physics (3 + 1)-dimensional generalized KP equation Jacobi elliptic equation of order six Jacobi elliptic function expansion method |
| dc.title.none.fl_str_mv | 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 |
| dc.type.none.fl_str_mv | Text Journal contribution info:eu-repo/semantics/publishedVersion text contribution to journal |
| description | <p dir="ltr">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.</p><h2>Other Information</h2><p dir="ltr">Published in: Partial Differential Equations in Applied Mathematics<br>License: <a href="http://creativecommons.org/licenses/by/4.0/" target="_blank">http://creativecommons.org/licenses/by/4.0/</a><br>See article on publisher's website: <a href="https://dx.doi.org/10.1016/j.padiff.2024.100954" target="_blank">https://dx.doi.org/10.1016/j.padiff.2024.100954</a></p> |
| eu_rights_str_mv | openAccess |
| id | Manara2_65a9e188f42b98274d9fadce49dc0087 |
| identifier_str_mv | 10.1016/j.padiff.2024.100954 |
| network_acronym_str | Manara2 |
| network_name_str | Manara2 |
| oai_identifier_str | oai:figshare.com:article/28105235 |
| publishDate | 2024 |
| repository.mail.fl_str_mv | |
| repository.name.fl_str_mv | |
| repository_id_str | |
| rights_invalid_str_mv | CC BY 4.0 |
| spelling | Integrated 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. Alkasasbeh (20482622)Belal Al-Khamaiseh (20482625)Ahmad T. Ali (20482628)Mathematical sciencesApplied mathematicsMathematical physics(3 + 1)-dimensional generalized KP equationJacobi elliptic equation of order sixJacobi elliptic function expansion method<p dir="ltr">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.</p><h2>Other Information</h2><p dir="ltr">Published in: Partial Differential Equations in Applied Mathematics<br>License: <a href="http://creativecommons.org/licenses/by/4.0/" target="_blank">http://creativecommons.org/licenses/by/4.0/</a><br>See article on publisher's website: <a href="https://dx.doi.org/10.1016/j.padiff.2024.100954" target="_blank">https://dx.doi.org/10.1016/j.padiff.2024.100954</a></p>2024-10-30T18:00:00ZTextJournal contributioninfo:eu-repo/semantics/publishedVersiontextcontribution to journal10.1016/j.padiff.2024.100954https://figshare.com/articles/journal_contribution/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/28105235CC BY 4.0info:eu-repo/semantics/openAccessoai:figshare.com:article/281052352024-10-30T18:00:00Z |
| spellingShingle | 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 Ahmad H. Alkasasbeh (20482622) Mathematical sciences Applied mathematics Mathematical physics (3 + 1)-dimensional generalized KP equation Jacobi elliptic equation of order six Jacobi elliptic function expansion method |
| status_str | publishedVersion |
| 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 | Mathematical sciences Applied mathematics Mathematical physics (3 + 1)-dimensional generalized KP equation Jacobi elliptic equation of order six Jacobi elliptic function expansion method |