输电线路相关非线性偏微分方程的多元孤子解

IF 2.6 3区物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY

Physica Scripta Pub Date : 2024-08-08 DOI:10.1088/1402-4896/ad69e6

Md Sagib, Bijan Krishna Saha, Sanjaya K Mohanty and Md Sazedur Rahman

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引用次数: 0

摘要

本文介绍了 (1+1) 维非线性电报方程 (NLTE) 和 (2+1) 维非线性电气传输线方程 (NETLE) 的新型行波解法。这些方程在电信号的传输和传播中至关重要，在电报线路、数字图像处理、电信和网络工程中都有应用。我们应用改进的 tanh 技术结合里卡提方程推导出新的解决方案，通过三维表面和二维等高线图展示了各种孤波模式。与之前的研究相比，这些结果提供了更全面的解决方案，并为利用孤子进行数据传输的通信系统提供了实际应用。所提出的方法展示了高效的计算过程，有助于研究人员分析应用数学、物理学和工程学中的非线性偏微分方程。

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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Diverse soliton solutions to the nonlinear partial differential equations related to electrical transmission line

This paper introduces novel traveling wave solutions for the (1+1)-dimensional nonlinear telegraph equation (NLTE) and the (2+1)-dimensional nonlinear electrical transmission line equation (NETLE). These equations are pivotal in the transmission and propagation of electrical signals, with applications in telegraph lines, digital image processing, telecommunications, and network engineering. We applied the improved tanh technique combined with the Riccati equation to derive new solutions, showcasing various solitary wave patterns through 3D surface and 2D contour plots. These results provide more comprehensive solutions than previous studies and offer practical applications in communication systems utilizing solitons for data transmission. The proposed method demonstrates an efficient calculation process, aiding researchers in analyzing nonlinear partial differential equations in applied mathematics, physics, and engineering

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来源期刊

Physica Scripta 物理-物理：综合

CiteScore

3.70

自引率

3.40%

发文量

782

审稿时长

4.5 months

期刊介绍： Physica Scripta is an international journal for original research in any branch of experimental and theoretical physics. Articles will be considered in any of the following topics, and interdisciplinary topics involving physics are also welcomed: -Atomic, molecular and optical physics- Plasma physics- Condensed matter physics- Mathematical physics- Astrophysics- High energy physics- Nuclear physics- Nonlinear physics. The journal aims to increase the visibility and accessibility of research to the wider physical sciences community. Articles on topics of broad interest are encouraged and submissions in more specialist fields should endeavour to include reference to the wider context of their research in the introduction.