The Impact of the Wiener Process on the Analytical Solutions of the Stochastic (2+1)-Dimensional Breaking Soliton Equation by Using Tanh-Coth Method

被引：36

作者：

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

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

Albalahi, Abeer M. ^{[2
]}

El-Morshedy, Mahmoud ^{[4
]}

机构：

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

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

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

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

来源：

MATHEMATICS | 2022年 / 10卷 / 05期

关键词：

stochastic breaking soliton equation; Wiener process; tanh-coth method; TRAVELING-WAVE SOLUTIONS; FINITE-ELEMENT-METHOD; (G'/G)-EXPANSION METHOD; NONLINEAR EVOLUTION; SPDES;

D O I：

10.3390/math10050817

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The stochastic (2+1)-dimensional breaking soliton equation (SBSE) is considered in this article, which is forced by the Wiener process. To attain the analytical stochastic solutions such as the polynomials, hyperbolic and trigonometric functions of the SBSE, we use the tanh-coth method. The results provided here extended earlier results. In addition, we utilize Matlab tools to plot 2D and 3D graphs of analytical stochastic solutions derived here to show the effect of the Wiener process on the solutions of the breaking soliton equation.

引用

页数：9

共 30 条

[1] Assessment of the further improved (G′/G)-expansion method and the extended tanh-method in probing exact solutions of nonlinear PDEs [J].