Solving nonlinear partial differential equations using a novel Cham method
[ X ]
Tarih
2023
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Taylor & Francis Ltd
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
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.
Açıklama
Anahtar Kelimeler
Cham method, (2 + 1)-dimensional Bogoyavlenskii's breaking soliton equations, bifurcation theory, traveling wave solutions
Kaynak
Journal of Taibah University For Science
WoS Q Değeri
Q2
Scopus Q Değeri
Q1
Cilt
17
Sayı
1
