M-truncated soliton solutions of the fractional (4+1)-dimensional Fokas equation
Özet
This article aims to examine M-truncated soliton solutions of the fractional
(4 + 1)-dimensional Fokas equation (FE), which is a generalization of the
Kadomtsev-Petviashvili (KP) and Davey-Stewartson (DS) equations. The fractional (4 + 1)-dimensional Fokas equation with the M-truncated derivative is
also studied first time in this study. The generalized projective Riccati equations method (GPREM) is successfully implemented. In the application of the
presented method, a suitable fractional wave transformation is chosen to convert the proposed model into a nonlinear ordinary differential equation. Then,
a linear equation system is acquired utilizing the GPREM, the system is solved,
and the suitable solution sets are obtained. Dark and singular soliton solutions
are successfully derived. Under the selection of appropriate values of the parameters, 2D, 3D, and contour plots are also displayed for some solutions.
Cilt
13Sayı
1Bağlantı
https://hdl.handle.net/11363/5801Koleksiyonlar
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