The fractional soliton solutions of the dynamical system of equations for ion sound and Langmuir waves: a comparative analysis
The result's identifiers
Result code in 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>
Result on the web
<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>
Alternative languages
Result language
angličtina
Original language name
The fractional soliton solutions of the dynamical system of equations for ion sound and Langmuir waves: a comparative analysis
Original language description
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.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
21100 - Other engineering and technologies
Result continuities
Project
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Continuities
O - Projekt operacniho programu
Others
Publication year
2024
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Scientific Reports
ISSN
2045-2322
e-ISSN
2045-2322
Volume of the periodical
14
Issue of the periodical within the volume
1
Country of publishing house
GB - UNITED KINGDOM
Number of pages
21
Pages from-to
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UT code for WoS article
001379689600001
EID of the result in the Scopus database
2-s2.0-85212394316