非线性pi -4方程的确定性和随机解

IF 1.4 4区工程技术 Q2 ENGINEERING, MULTIDISCIPLINARY

International Journal of Nonlinear Sciences and Numerical Simulation Pub Date : 2022-06-16 DOI:10.1515/ijnsns-2022-2272

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

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引用次数: 2

摘要

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

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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来源期刊

International Journal of Nonlinear Sciences and Numerical Simulation 工程技术-工程：综合

CiteScore

2.80

自引率

6.70%

发文量

117

审稿时长

13.7 months

期刊介绍： The International Journal of Nonlinear Sciences and Numerical Simulation publishes original papers on all subjects relevant to nonlinear sciences and numerical simulation. The journal is directed at Researchers in Nonlinear Sciences, Engineers, and Computational Scientists, Economists, and others, who either study the nature of nonlinear problems or conduct numerical simulations of nonlinear problems.