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非线性低通输电线路和Cahn-Allen方程的稳定孤子解。

Stable soliton solutions to the nonlinear low-pass electrical transmission lines and the Cahn-Allen equation.

作者信息

Islam Md Ekramul, Barman Hemonta Kumar, Akbar M Ali

机构信息

Department of Mathematics, Pabna University of Science and Technology, Bangladesh.

Department of Applied Mathematics, University of Rajshahi, Bangladesh.

出版信息

Heliyon. 2021 May 5;7(5):e06910. doi: 10.1016/j.heliyon.2021.e06910. eCollection 2021 May.

Abstract

The low-pass nonlinear electrical transmission lines and the Cahn-Allen equation are important nonlinear model equations to figure out different tangible systems, namely, electrical engineering, fluid dynamics etc. The contrivance of this study is to introduce advanced Bernoulli sub-equation function method to search for stable and effective solitary solutions of the described wave equations. Stable solitary solutions are reported as an integration of exponential functions, hyperbolic functions, etc., and the graphical implications for specific values of the corresponding parameters are explained in the solutions obtained in order to uncover the inmost structure of the tangible phenomena. It is establish that the IBSEF method is reliable, contented and might be used in further works to found ample novel soliton solutions for other types of NLEEs arising in physical science and engineering.

摘要

低通非线性输电线路和卡恩-艾伦方程是用于描述不同实际系统的重要非线性模型方程,这些系统包括电气工程、流体动力学等。本研究的目的是引入先进的伯努利子方程函数方法,以寻找上述波动方程的稳定且有效的孤立解。报告了稳定的孤立解是指数函数、双曲函数等的积分,并在所获得的解中解释了相应参数特定值的图形含义,以揭示实际现象的内在结构。结果表明,IBSEF方法是可靠的、令人满意的,并且可用于进一步的工作,为物理科学和工程中出现的其他类型的非线性演化方程找到大量新的孤子解。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/69f1/8121666/71c2f8702f3c/gr001.jpg

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