A Novel Approximation to the Fractional KdV Equation Using the Tantawy Technique and Modeling Fractional Electron-Acoustic Cnoidal Waves in a Nonthermal Plasma

IF 1.5 4区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY
Samir A. El-Tantawy, Daud Khan, Wilayat Khan, Muhammad Khalid, Weaam Alhejaili
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Abstract

In this neoteric study, the fractional and non-fractional electron-acoustic (EA) cnoidal waves (CWs) are investigated in an unmagnetized homogeneous non-Maxwellian plasma composed of hot nonthermal electrons following Cairns distribution, cold electrons, and immobile positive ions. To do this, an evolution wave equation (Korteweg-de Vries (KdV) equation) that governs the propagation of these waves in the current model is generated by using the reductive perturbation technique. Analysis of the KdV equation’s nonlinearity coefficient, which dictates the polarity of nonlinear waves that may emerge and propagate in the current model, reveals that this model only supports rarefactive waves. The impact of various plasma parameters, like the nonthermal parameter and the density ratio of hot-to-cold electrons (hot electron concentration), on the essential features of the EACWs is numerically examined. The second objective of this investigation is to explore the fractional-order parameter’s effect on the dynamics of periodic wave propagation within the current model. This is achieved by transforming the non-fractional planar KdV equation into its fractional counterpart and analyzing it using contemporary methods, such as the Tantawy technique, which has proven its efficacy and precision in numerous prior studies.

利用Tantawy技术对分数阶KdV方程的一种新的近似和模拟非热等离子体中的分数阶电子声余弦波
本文研究了由凯恩斯分布的非热电子、冷电子和固定正离子组成的非磁化均匀非麦克斯韦等离子体中的分数阶和非分数阶电子声(EA)余弦波(CWs)。为了做到这一点,通过使用约化微扰技术,在当前模型中生成了一个控制这些波传播的演化波方程(Korteweg-de Vries (KdV)方程)。KdV方程的非线性系数决定了当前模型中可能出现和传播的非线性波的极性,分析表明该模型仅支持屈光波。数值研究了非热参量和冷热电子密度比(热电子浓度)等等离子体参数对EACWs基本特性的影响。本研究的第二个目标是探索分数阶参数对当前模型中周期波传播动力学的影响。这是通过将非分数平面KdV方程转换为分数型方程并使用现代方法(如Tantawy技术)进行分析来实现的,该技术已在许多先前的研究中证明了其有效性和准确性。
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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来源期刊
Brazilian Journal of Physics
Brazilian Journal of Physics 物理-物理:综合
CiteScore
2.50
自引率
6.20%
发文量
189
审稿时长
6.0 months
期刊介绍: The Brazilian Journal of Physics is a peer-reviewed international journal published by the Brazilian Physical Society (SBF). The journal publishes new and original research results from all areas of physics, obtained in Brazil and from anywhere else in the world. Contents include theoretical, practical and experimental papers as well as high-quality review papers. Submissions should follow the generally accepted structure for journal articles with basic elements: title, abstract, introduction, results, conclusions, and references.
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