Solving nonlinear partial differential equations using a novel Cham method
Nonlinear partial differential equations (NLPDEs) have been of great interest in recent years due to their numerous applications. While there are several methods for finding exact solutions to various NLPDEs, more solutions are still required. This paper first proposes the Cham method, a new method...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Taylor & Francis Group
2023-12-01
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| Series: | Journal of Taibah University for Science |
| Subjects: | |
| Online Access: | https://www.tandfonline.com/doi/10.1080/16583655.2023.2272728 |
| _version_ | 1797215167076892672 |
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| author | Boubekeur Gasmi Alaaeddin Moussa Yazid Mati Lama Alhakim Ali Akgül |
| author_facet | Boubekeur Gasmi Alaaeddin Moussa Yazid Mati Lama Alhakim Ali Akgül |
| author_sort | Boubekeur Gasmi |
| collection | DOAJ |
| description | Nonlinear partial differential equations (NLPDEs) have been of great interest in recent years due to their numerous applications. While there are several methods for finding exact solutions to various NLPDEs, more solutions are still required. This paper first proposes the Cham method, a new method for solving NLPDEs that can generate eight families of solutions. The method is then successfully employed to solve the (2+1)-dimensional Bogoyavlenskii's breaking soliton equations. The dynamic behaviour of these equations and the bifurcation of traveling waves are also discussed. Finally, we graphically depict some solutions corresponding to some discovered solutions with different coefficient values. The Cham method is general, effective, and adaptable to many NLPDEs. |
| first_indexed | 2024-03-10T08:13:46Z |
| format | Article |
| id | doaj.art-8b8b64b5aa444804acd93d9acc38c8f9 |
| institution | Directory Open Access Journal |
| issn | 1658-3655 |
| language | English |
| last_indexed | 2024-04-24T11:25:45Z |
| publishDate | 2023-12-01 |
| publisher | Taylor & Francis Group |
| record_format | Article |
| series | Journal of Taibah University for Science |
| spelling | doaj.art-8b8b64b5aa444804acd93d9acc38c8f92024-04-10T20:17:48ZengTaylor & Francis GroupJournal of Taibah University for Science1658-36552023-12-0117110.1080/16583655.2023.2272728Solving nonlinear partial differential equations using a novel Cham methodBoubekeur Gasmi0Alaaeddin Moussa1Yazid Mati2Lama Alhakim3Ali Akgül4Higher School of Management and Digital Economy, Kolea, Tipaza, AlgeriaDepartment of Management Information System and Production Management, College of Business & Economics, Qassim University, Buraidah, Saudi ArabiaDepartment of Management Information System and Production Management, College of Business & Economics, Qassim University, Buraidah, Saudi ArabiaDepartment of Management Information System and Production Management, College of Business & Economics, Qassim University, Buraidah, Saudi ArabiaDepartment of Computer Science and Mathematics, Lebanese American University, Beirut, LebanonNonlinear partial differential equations (NLPDEs) have been of great interest in recent years due to their numerous applications. While there are several methods for finding exact solutions to various NLPDEs, more solutions are still required. This paper first proposes the Cham method, a new method for solving NLPDEs that can generate eight families of solutions. The method is then successfully employed to solve the (2+1)-dimensional Bogoyavlenskii's breaking soliton equations. The dynamic behaviour of these equations and the bifurcation of traveling waves are also discussed. Finally, we graphically depict some solutions corresponding to some discovered solutions with different coefficient values. The Cham method is general, effective, and adaptable to many NLPDEs.https://www.tandfonline.com/doi/10.1080/16583655.2023.2272728Cham method(2 + 1)-dimensional Bogoyavlenskii's breaking soliton equationsbifurcation theorytraveling wave solutions |
| spellingShingle | Boubekeur Gasmi Alaaeddin Moussa Yazid Mati Lama Alhakim Ali Akgül Solving nonlinear partial differential equations using a novel Cham method Journal of Taibah University for Science Cham method (2 + 1)-dimensional Bogoyavlenskii's breaking soliton equations bifurcation theory traveling wave solutions |
| title | Solving nonlinear partial differential equations using a novel Cham method |
| title_full | Solving nonlinear partial differential equations using a novel Cham method |
| title_fullStr | Solving nonlinear partial differential equations using a novel Cham method |
| title_full_unstemmed | Solving nonlinear partial differential equations using a novel Cham method |
| title_short | Solving nonlinear partial differential equations using a novel Cham method |
| title_sort | solving nonlinear partial differential equations using a novel cham method |
| topic | Cham method (2 + 1)-dimensional Bogoyavlenskii's breaking soliton equations bifurcation theory traveling wave solutions |
| url | https://www.tandfonline.com/doi/10.1080/16583655.2023.2272728 |
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