A robust computational approach for Zakharov-Kuznetsov equations of ion-acoustic waves in a magnetized plasma via the Shehu transform

IF 13 1区 工程技术 Q1 ENGINEERING, MARINE Journal of Ocean Engineering and Science Pub Date : 2023-01-01 DOI:10.1016/j.joes.2021.11.006
Parthkumar P. Sartanpara, Ramakanta Meher
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引用次数: 12

Abstract

The application of the q-homotopy analysis Shehu transform method (q-HAShTM) to discover the estimated solution of fractional Zakharov-Kuznetsov equations is investigated in this study. In the presence of a uniform magnetic field, the Zakharov-Kuznetsov equations regulate the behaviour of nonlinear acoustic waves in a plasma containing cold ions and hot isothermal electrons. The q-HAShTM is a stable analytical method that combines homotopy analysis and the Shehu transform. This q-homotopy investigation Shehu transform is a constructive method that leads to the Zakharov-Kuznetsov equations, which regulate the propagation of nonlinear ion-acoustic waves in a plasma. It is a more semi-analytical method for adjusting and controlling the convergence region of the series solution and overcoming some of the homotopy analysis method’s limitations.

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通过Shehu变换求解磁化等离子体中离子声波的Zakharov-Kuznetsov方程的鲁棒计算方法
本文研究了q-同宗分析Shehu变换方法(q-HAShTM)在求解分数阶Zakharov-Kuz涅佐夫方程估计解中的应用。在均匀磁场存在的情况下,Zakharov-Kuz涅佐夫方程调节了含有冷离子和热等温电子的等离子体中非线性声波的行为。q-HAShTM是一种稳定的分析方法,它结合了仿射分析和舍胡变换。这种q-同宗研究Shehu变换是一种构造方法,它导致了Zakharov-Kuz涅佐夫方程,该方程调节了非线性离子声波在等离子体中的传播。它是一种更具半解析性的方法,用于调整和控制级数解的收敛区域,并克服了同伦分析方法的一些局限性。
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来源期刊
CiteScore
11.50
自引率
19.70%
发文量
224
审稿时长
29 days
期刊介绍: The Journal of Ocean Engineering and Science (JOES) serves as a platform for disseminating original research and advancements in the realm of ocean engineering and science. JOES encourages the submission of papers covering various aspects of ocean engineering and science.
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