Exact analytical wave solutions for space-time variable-order fractional modified equal width equation
Yükleniyor...
Tarih
2022
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Elsevier
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
The variable-order evolution equation is an impressive mathematical model that explain complex dynamical problems efficiently and accurately. This latest research investigates the modified equal width nonlinear space–time variable-order fractional differential equation and fractional derivative operator in the sense of Caputo. Using transformation, an ordinary differential equation is obtained from the variable-order differential equation. For accuracy, the space–time variable-order fractional modified equal width equation is solved by the modified (G’/G) -expansion method. This model describes the simulation for one-dimensional wave transmission in nonlinear media with dispersion processes. As a result, new traveling wave solutions are developed for various values of parameters. The obtained solutions have several applications in a recent area of research in mathe- matical physics. The obtained graphical solutions are in the form of singular solitons, kink solitons and periodic solitons waves which demonstrate that the physical signifance and dynamical behaviors of fractional variable- order differential equations and the proposed method are more effective, powerful, and easy in solving prob- lems arising in mathematical physics
Açıklama
Anahtar Kelimeler
Space-time variable-order fractional modified equal width equation, (G’/G)-expansion method (EM), Generalized Riccati equation (GRE), Rational expansion procedure (REP)
Kaynak
Results in Physics
WoS Q Değeri
Q1
Scopus Q Değeri
N/A
Cilt
33
