Impact of Brownian Motion on the Analytical Solutions of the Space-Fractional Stochastic Approximate Long Water Wave Equation

被引：19
|
作者：
Al-Askar, Farah M. [1 ]
Mohammed, Wael W. [2 ,3 ]
Alshammari, Mohammad [2 ]
机构：
[1] Princess Nourah Bint Abdulrahman Univ, Dept Math Sci, Collage Sci, Riyadh 11671, Saudi Arabia
[2] Univ Hail, Fac Sci, Dept Math, Hail 81411, Saudi Arabia
[3] Mansoura Univ, Fac Sci, Dept Math, Mansoura 35516, Egypt
来源：
SYMMETRY-BASEL | 2022年 / 14卷 / 04期
关键词：
exact fractional solutions; exact stochastic solutions; Riccati equation method; DIFFERENTIAL-EQUATIONS; NONLINEAR EVOLUTION; (G'/G)-EXPANSION; DIFFUSION; NOISE;
D O I：
10.3390/sym14040740
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
The space-fractional stochastic approximate long water wave equation (SFSALWWE) is considered in this work. The Riccati equation method is used to get analytical solutions of the SFSALWWE. This equation has never been examined with stochastic term and fractional space at the same time. In general, the noise term that preserves the symmetry reduces the domain of instability. To check the impact of Brownian motion on these solutions, we use a MATLAB package to plot 3D and 2D graphs for some analytical fractional stochastic solutions.
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页数：10
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