Multiplicative Brownian Motion Stabilizes the Exact Stochastic Solutions of the Davey-Stewartson Equations

IF 2.2 3区综合性期刊 Q2 MULTIDISCIPLINARY SCIENCES

Symmetry-Basel Pub Date : 2022-10-17 DOI:10.3390/sym14102176

F. M. Al-Askar, C. Cesarano, W. Mohammed

引用次数: 13

Abstract

In this article, the stochastic Davey–Stewartson equations (SDSEs) forced by multiplicative noise are addressed. We use the mapping method to find new rational, elliptic, hyperbolic and trigonometric functions. In addition, we generalize some previously obtained results. Due to the significance of the Davey–Stewartson equations in plasma physics, nonlinear optics, hydrodynamics and other fields, the discovered solutions are useful in explaining a number of intriguing physical phenomena. By using MATLAB tools to simulate our results and display some of 3D graphs, we show how the multiplicative Brownian motion impacts the analytical solutions of the SDSEs. Finally, we demonstrate the effect of multiplicative Brownian motion on the stability and the symmetry of the achieved solutions of the SDSEs.

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乘法布朗运动稳定Davey-Stewartson方程的精确随机解

本文研究了乘性噪声强迫下的随机Davey-Stewartson方程。我们使用映射方法来寻找新的有理函数、椭圆函数、双曲函数和三角函数。此外，我们还推广了先前得到的一些结果。由于Davey–Stewartson方程在等离子体物理、非线性光学、流体力学和其他领域的重要性，所发现的解有助于解释许多有趣的物理现象。通过使用MATLAB工具模拟我们的结果并显示一些三维图，我们展示了乘法布朗运动如何影响SDSE的解析解。最后，我们证明了乘法布朗运动对SDSE的稳定性和所获得的解的对称性的影响。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Symmetry-Basel MULTIDISCIPLINARY SCIENCES-

CiteScore

5.40

自引率

11.10%

发文量

2276

审稿时长

14.88 days

期刊介绍： Symmetry (ISSN 2073-8994), an international and interdisciplinary scientific journal, publishes reviews, regular research papers and short notes. Our aim is to encourage scientists to publish their experimental and theoretical research in as much detail as possible. There is no restriction on the length of the papers. Full experimental and/or methodical details must be provided, so that results can be reproduced.