Solving nonlinear partial differential equations using a novel Cham method

Basit Öğe Kaydı
dc.authoridGasmi, Boubekeur/0000-0003-2861-8323
dc.contributor.authorGasmi, Boubekeur
dc.contributor.authorMoussa, Alaaeddin
dc.contributor.authorMati, Yazid
dc.contributor.authorAlhakim, Lama
dc.contributor.authorAkguel, Ali
dc.date.accessioned2024-12-24T19:28:26Z
dc.date.available2024-12-24T19:28:26Z
dc.date.issued2023
dc.departmentSiirt Üniversitesi
dc.description.abstractNonlinear 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.
dc.identifier.doi10.1080/16583655.2023.2272728
dc.identifier.issn1658-3655
dc.identifier.issue1
dc.identifier.scopus2-s2.0-85176377493
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.1080/16583655.2023.2272728
dc.identifier.urihttps://hdl.handle.net/20.500.12604/7043
dc.identifier.volume17
dc.identifier.wosWOS:001103441200001
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherTaylor & Francis Ltd
dc.relation.ispartofJournal of Taibah University For Science
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241222
dc.subjectCham method
dc.subject(2 + 1)-dimensional Bogoyavlenskii's breaking soliton equations
dc.subjectbifurcation theory
dc.subjecttraveling wave solutions
dc.titleSolving nonlinear partial differential equations using a novel Cham method
dc.typeArticle

Dosyalar

Koleksiyon

WOS İndeksli Yayınlar Koleksiyonu
Scopus İndeksli Yayınlar Koleksiyonu