M-truncated soliton solutions of the fractional (4+1)-dimensional Fokas equation





(4 1)-dimensional Fokas equation, M-truncated derivative, Soliton solution


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 derivatives 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.


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Author Biography

Neslihan Ozdemir, Department of Software Engineering, Istanbul Gelisim University, Istanbul, Turkey

is an assistant professor of mathematics at the department of Software Engineering at Istanbul Gelisim University, Istanbul, Turkey. She received her Ph.D. from Yildiz Technical University, Turkey in 2019. Her research interests include scientific computation, analytical and numerical methods for nonlinear partial differential equations and fractional nonlinear partial differential equations, applications in applied mathematics and mechanics.



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DOI: 10.11121/ijocta.2023.1321
Published: 2023-01-29

How to Cite

Ozdemir, N. (2023). M-truncated soliton solutions of the fractional (4+1)-dimensional Fokas equation. An International Journal of Optimization and Control: Theories & Applications (IJOCTA), 13(1), 123–129. https://doi.org/10.11121/ijocta.2023.1321



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