The deterministic and stochastic solutions for the nonlinear Phi-4 equation

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2022-06-16 DOI:10.1515/ijnsns-2022-2272

M. Abdelrahman, M. Sohaly, S. Ammar, Yousef F. Alharbi

引用次数: 2

Abstract

Abstract In the present work, the exp(−φ(ξ))-expansion method is applied for solving the deterministic and stochastic Phi-4 equation. Namely, we introduce hyperbolic, trigonometric, and rational function solutions. The computational study shows that the offered method is pretentious, robust, and influential in applications of interesting analysis, observations of particle physics, plasma physics, quantum field theory, and fluid dynamics. The control on the randomness input (the coefficients are random variables) is studied in order to obtain stability stochastic process solution with beta distribution. In this work, we will deal with stability moment method and then we apply the mean square calculus for the stability concept.

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非线性pi -4方程的确定性和随机解

摘要本文应用exp(−φ(ξ))展开法求解确定性和随机的pi -4方程。也就是说，我们引入双曲、三角和有理函数解。计算研究表明，该方法在粒子物理、等离子体物理、量子场论和流体动力学的有趣分析、观测中具有很强的鲁棒性和影响力。为了得到具有beta分布的稳定随机过程解，研究了对随机输入(系数为随机变量)的控制。在本工作中，我们将处理稳定矩法，然后将均方微积分应用于稳定性概念。

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

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.