A study on solitary wave solutions for the Zoomeron equation supported by two-dimensional dynamics
Küçük Resim Yok
Tarih
2023
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
IOP Publishing Ltd
Erişim Hakkı
info:eu-repo/semantics/restrictedAccess
Özet
This study emphasizes the importance of understanding natural phenomena through various observations and relating them to scientific studies. Nonlinear partial differential equations serve as fundamental tools for modeling these phenomena, with a focus on nonlinear evolution equations when involving time. This paper investigates the dynamics of the Zoomeron equation, highlighting not only a result derived from the KdV and Schrodinger equations but also its contribution to the modeling of Boomeron and Trappon solitons. Different analytical techniques yield various solutions for the Zoomeron equation, each offering unique insights. The behavior of the solutions generated in kink and singular soliton forms in various dynamics using the G'/G(2) -expansion method is investigated and compared under restrictive conditions, and the distribution of energy density is explained with the assistance of the gradient function. It is aimed at gaining a physically unique perspective by revealing the connections between the velocities of solitons produced for this equation and the effects of gradient flow directions. In addition, stability analysis for some of the solutions generated in the kink form is investigated. The structure of the paper includes method introduction, application, stability property, results and discussion, resulting in a unique perspective on understanding the physical dynamics of the Zoomeron model.
Açıklama
Anahtar Kelimeler
Zoomeron equationsolitary; wave solution; the (G'/G (2))-expansion method; kink soliton; singular soliton; stability analysis
Kaynak
Physica Scripta
WoS Q Değeri
Q2
Scopus Q Değeri
N/A
Cilt
98
Sayı
12
