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

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27740%2F24%3A10256375" target="_blank" >RIV/61989100:27740/24:10256375 - isvavai.cz</a>

Výsledek na webu

<a href="https://www.nature.com/articles/s41598-024-73983-8#author-information" target="_blank" >https://www.nature.com/articles/s41598-024-73983-8#author-information</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1038/s41598-024-73983-8" target="_blank" >10.1038/s41598-024-73983-8</a>

Jazyk výsledku

angličtina

Název v původním jazyce

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

Popis výsledku v původním jazyce

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, betadocumentclass[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.

Název v anglickém jazyce

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

Popis výsledku anglicky

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, betadocumentclass[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.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

21100 - Other engineering and technologies

Projekt

—

Návaznosti

O - Projekt operacniho programu

Rok uplatnění

2024

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Scientific Reports

ISSN

2045-2322

e-ISSN

2045-2322

Svazek periodika

14

Číslo periodika v rámci svazku

1

Stát vydavatele periodika

GB - Spojené království Velké Británie a Severního Irska

Počet stran výsledku

21

Strana od-do

—

Kód UT WoS článku

001379689600001

EID výsledku v databázi Scopus

2-s2.0-85212394316