The Analytical Stochastic Solutions for the Stochastic Potential Yu-Toda-Sasa-Fukuyama Equation with Conformable Derivative Using Different Methods

被引：13

作者：

Albosaily, Sahar ^{[1
]}

Elsayed, Elsayed M. ^{[2
]}

Albalwi, M. Daher ^{[3
]}

Alesemi, Meshari ^{[4
]}

Mohammed, Wael W. ^{[1
,5
]}

机构：

[1] Univ Hail, Coll Sci, Dept Math, Hail 2440, Saudi Arabia

[2] King Abdulaziz Univ, Fac Sci, Dept Math, Jeddah 21589, Saudi Arabia

[3] Royal Commiss Jubail & Yanbu, Yanbu Ind Coll, Yanbu 30436, Saudi Arabia

[4] Univ Bisha, Coll Sci, Dept Math, Bisha 61922, Saudi Arabia

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

来源：

FRACTAL AND FRACTIONAL | 2023年 / 7卷 / 11期

关键词：

exact stochastic solutions; conformable derivative; stabilization by noise; improved (G ' /G)-expansion method; BOGOYAVLENSKII-SCHIFF; SOLITON-SOLUTIONS; PEDIATRIC RISK; MORTALITY; TRAUMA; PROCALCITONIN; INJURIES; SEPSIS; RATIO; WAVE;

D O I：

10.3390/fractalfract7110787

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider in this study the (3+1)-dimensional stochastic potential Yu-Toda-Sasa-Fukuyama with conformable derivative (SPYTSFE-CD) forced by white noise. For different kind of solutions of SPYTSFE-CD, including hyperbolic, rational, trigonometric and function, we use He's semi-inverse and improved (G ' /G)-expansion methods. Because it investigates solitons and nonlinear waves in dispersive media, plasma physics and fluid dynamics, the potential Yu-Toda-Sasa-Fukuyama theory may explain many intriguing scientific phenomena. We provide numerous 2D and 3D figures to address how the white noise destroys the pattern formation of the solutions and stabilizes the solutions of SPYTSFE-CD.

引用

页数：13

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