通过布朗运动分析随机耦合马卡里系统的行波解和动力学行为

IF 6 2区工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY

Ain Shams Engineering Journal Pub Date : 2024-11-01 DOI:10.1016/j.asej.2024.103037

Shan Zhao , Zhao Li

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引用次数: 0

摘要

随机耦合马卡里系统（MS）是一种重要的非线性偏微分方程，用于描述流体流动、等离子体物理、非线性光学等。本文研究了该系统的动力学行为和一些新的精确行波解。通过复行波变换，系统被转化为非线性常微分方程。通过分岔理论说明了系统的动力学行为及其扰动情况。然后，基于多项式完全判别系统理论，提取了系统的一些新的随机行波解。为了说明随机因素对解的影响，通过几组图形比较了不同布朗运动振幅下的解结构。本文获得的结果补充了对该系统的研究，利用行波解的技术是有效的。

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 analysis of traveling wave solutions and dynamical behavior for the stochastic coupled Maccari's system via Brownian motion

The stochastic coupled Maccari's system (MS) is a kind of important nonlinear partial differential equations to describe fluid flow, plasma physics, nonlinear optics and so on. In this article, the dynamical behavior and some new exact traveling wave solutions of the system are investigated. By means of complex traveling wave transformation, the system is transformed into a nonlinear ordinary differential equation. The dynamical behavior of the system as well as its perturbation case are illustrated by bifurcation theory. And then, some new stochastic traveling wave solutions of the system are extracted based on the theory of polynomial complete discrimination system. To show the effect of stochastic factor on the solutions, their structures under different Brownian motion amplitudes are compared by several sets of graphs. The results obtained in this paper have supplemented the study of the system, and the technique used to exploit the traveling wave solutions are effective.

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来源期刊

Ain Shams Engineering Journal Engineering-General Engineering

CiteScore

10.80

自引率

13.30%

发文量

441

审稿时长

49 weeks

期刊介绍： in Shams Engineering Journal is an international journal devoted to publication of peer reviewed original high-quality research papers and review papers in both traditional topics and those of emerging science and technology. Areas of both theoretical and fundamental interest as well as those concerning industrial applications, emerging instrumental techniques and those which have some practical application to an aspect of human endeavor, such as the preservation of the environment, health, waste disposal are welcome. The overall focus is on original and rigorous scientific research results which have generic significance. Ain Shams Engineering Journal focuses upon aspects of mechanical engineering, electrical engineering, civil engineering, chemical engineering, petroleum engineering, environmental engineering, architectural and urban planning engineering. Papers in which knowledge from other disciplines is integrated with engineering are especially welcome like nanotechnology, material sciences, and computational methods as well as applied basic sciences: engineering mathematics, physics and chemistry.