布尔格斯方程的新孤子解与附加时变系数

Q3 Engineering

WSEAS Transactions on Fluid Mechanics Pub Date : 2024-02-14 DOI:10.37394/232013.2024.19.6

B. Babajanov, F. Abdikarimov

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引用次数: 0

摘要

在这篇文章中，我们使用函数变分法求解布尔格斯方程，并增加了一个随时间变化的变量系数。与其他方法相比，本文提出的方法的主要优势在于可以获得更多新的方程解。在获得的解中，新的孤子解值得注意，它对揭示物理现象的内部机制具有重要意义。解的三维图形是用数学程序 Matlab 绘制的。为了更好地理解一些所得解的物理特性，我们展示了它们的图形表示。这种方法对于寻找许多其他类似波方程的精确解也很有效。

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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New Soliton Solutions of the Burgers Equation with Additional Time-dependent Variable Coefficient

In this article, we use the functional variational method to solve the Burgers equation with an additional time-dependent variable coefficient. The main advantage of the proposed method over other methods is that it allows to obtain more new solutions of the equation. Among the solutions obtained, new soliton solutions should be noted, which are of great importance for revealing the internal mechanism of physical phenomena. Three-dimensional graphs of solutions are constructed using the mathematical program Matlab. For a better understanding of the physical properties of some of the resulting solutions, their graphical representations are shown. This method is effective for finding exact solutions to many other similar wave equations.

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来源期刊

WSEAS Transactions on Fluid Mechanics Engineering-Computational Mechanics

CiteScore

1.50

自引率

0.00%

发文量

期刊介绍： WSEAS Transactions on Fluid Mechanics publishes original research papers relating to the studying of fluids. We aim to bring important work to a wide international audience and therefore only publish papers of exceptional scientific value that advance our understanding of this particular area. The research presented must transcend the limits of case studies, while both experimental and theoretical studies are accepted. It is a multi-disciplinary journal and therefore its content mirrors the diverse interests and approaches of scholars involved with multiphase flow, boundary layer flow, material properties, wave modelling and related areas. We also welcome scholarly contributions from officials with government agencies, international agencies, and non-governmental organizations.