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

N. Ozdemir
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引用次数: 3

Abstract

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)$-dimensional Fokas equation with the M-truncated derivatives is also studied first time in this study. The generalized projective Riccati equations method (GPREM) is successfully implemented. In the application of the presented method, a suitable fractional wave transformation is chosen to convert the proposed model into a nonlinear ordinary differential equation. Then, a linear equation system is acquired utilizing the GPREM, the system is solved, and the suitable solution sets are obtained. Dark and singular soliton solutions are successfully derived. Under the selection of appropriate values of the parameters, 2D, 3D, and contour plots are also displayed for some solutions.
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分数(4+1)维Fokas方程的m截断孤子解
本文旨在研究分数(4+1)维Fokas方程(FE)的m截断孤子解,该方程是Kadomtsev-Petviashvili (KP)和Davey-Stewartson (DS)方程的推广。本文还首次研究了具有m截断导数的分数(4+1)$维Fokas方程。成功地实现了广义投影Riccati方程方法。在应用该方法时,选择合适的分数波变换将模型转化为非线性常微分方程。然后,利用GPREM方法得到一个线性方程组,对该方程组进行求解,得到了合适的解集。成功地导出了暗孤子解和奇异孤子解。在选择合适的参数值的情况下,还可以显示一些解的二维、三维和等高线图。
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来源期刊
CiteScore
3.30
自引率
6.20%
发文量
13
审稿时长
16 weeks
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