The fractional soliton solutions of the dynamical system of equations for ion sound and Langmuir waves: a comparative analysis

被引:2
|
作者
Faridi, Waqas Ali [1 ]
Jhangeer, Adil [2 ]
Riaz, Muhammad Bilal [2 ,3 ]
Asjad, Muhammad Imran [1 ]
Muhammad, Taseer [4 ]
机构
[1] Univ Management & Technol, Dept Math, Lahore, Pakistan
[2] VSB Tech Univ Ostrava, IT4innovations, Ostrava, Czech Republic
[3] Lebanese Amer Univ, Dept Comp Sci & Math, Byblos, Lebanon
[4] King Khalid Univ, Coll Sci, Dept Math, Abha, Saudi Arabia
来源
SCIENTIFIC REPORTS | 2024年 / 14卷 / 01期
关键词
The ion sound as well as Langmuir waves; Fractional derivatives; New extended direct algebraic method; Traveling wave solutions; BEHAVIOR; MODEL;
D O I
10.1038/s41598-024-73983-8
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
In light of the ponderomotive force, this article focuses on establishing the exact wave structures of the ion sound system. It is the result of non-linear force and affects a charged particle oscillating in an inhomogeneous electromagnetic field. By using the Riemann-Liouville operator, beta\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\beta$$\end{document}-operator, and Atangana-Baleanu fractional analysis, the examined equation-which consists of the normalized electric field of the Langmuir oscillation and normalized density perturbation-is thoroughly examined. The solutions can be obtained with the help of a relatively new integration tool, the new extended direct algebraic method. We extract various wave structures in bright, dark, combo, ark, bright, and singular soliton solutions, among other forms, from soliton solutions. This method is simple and quick, and it can be used with more non-linear models or systems. Using the Mathematica software package, a graphically comparative analysis of some solutions is also presented here, taking appropriate parametric values into consideration.
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页数:21
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