The Exact Solutions for Fractional-Stochastic Drinfel'd-Sokolov-Wilson Equations Using a Conformable Operator

被引：6

作者：

Al-Askar, Farah M. ^{[1
]}

Mohammed, Wael W. ^{[2
,3
]}

Samura, Sallieu K. ^{[4
]}

El-Morshedy, M. ^{[5
,6
]}

机构：

[1] Princess Nourah Bint Abdulrahman Univ, Dept Math Sci, Coll Sci, POB 84428, Riyadh 11671, Saudi Arabia

[2] Univ Hail, Dept Math, Fac Sci, Hail 2440, Saudi Arabia

[3] Mansoura Univ, Dept Math, Fac Sci, Mansoura 35516, Egypt

[4] Univ Sierra Leone, Dept Math & Stat, Fourah Bay Coll, Freetown, Sierra Leone

[5] Prince Sattam Bin Abdulaziz Univ, Coll Sci & Humanities Al Kharj, Dept Math, Al Kharj 11942, Saudi Arabia

[6] Mansoura Univ, Dept Stat & Comp Sci, Fac Sci, Mansoura 35516, Egypt

来源：

JOURNAL OF FUNCTION SPACES | 2022年 / 2022卷

关键词：

TRAVELING-WAVE SOLUTIONS; NONLINEAR EVOLUTION; TRANSFORMATION;

D O I：

10.1155/2022/7133824

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The fractional-stochastic Drinfel'd-Sokolov-Wilson equations (FSDSWEs) perturbed by the multiplicative Wiener process are studied. The mapping method is used to obtain rational, hyperbolic, and elliptic stochastic solutions for FSDSWEs. Due to the importance of FSDSWEs in describing the propagation of shallow water waves, the derived solutions are significantly more useful and effective in understanding various important challenging physical phenomena. In addition, we use the MATLAB Package to generate 3D graphs for specific FSDSWE solutions in order to discuss the impact of fractional order and the Wiener process on the solutions of FSDSWEs.

引用

页数：9

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