Symmetry Analysis and Solitary Wave Solutions of Nonlinear Ion-Acoustic Waves Equation

The problem of nonlinear ion-acoustic waves equation in a magnetized plasma, known as Zakharov-Kuznetsov equation, is investigated by using symmetry analysis. The carryover of the symmetry analysis has led to certain similarity reductions of this equation. Furthermore, exact solutions of similarity...

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Main Authors: M.H.M. Moussa, A.A. Gaber
Format: Article
Language:English
Published: Etamaths Publishing 2020-05-01
Series:International Journal of Analysis and Applications
Online Access:http://etamaths.com/index.php/ijaa/article/view/2001
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author M.H.M. Moussa
A.A. Gaber
author_facet M.H.M. Moussa
A.A. Gaber
author_sort M.H.M. Moussa
collection DOAJ
description The problem of nonlinear ion-acoustic waves equation in a magnetized plasma, known as Zakharov-Kuznetsov equation, is investigated by using symmetry analysis. The carryover of the symmetry analysis has led to certain similarity reductions of this equation. Furthermore, exact solutions of similarity reductions are obtained by modified Exp-Function method with computational symbolic. Some figures are obtained to show the properties of the solutions.
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spelling doaj.art-3c376decd3ab4f2dbcd596af45f66cc12022-12-21T18:29:48ZengEtamaths PublishingInternational Journal of Analysis and Applications2291-86392020-05-01183448460455Symmetry Analysis and Solitary Wave Solutions of Nonlinear Ion-Acoustic Waves EquationM.H.M. MoussaA.A. GaberThe problem of nonlinear ion-acoustic waves equation in a magnetized plasma, known as Zakharov-Kuznetsov equation, is investigated by using symmetry analysis. The carryover of the symmetry analysis has led to certain similarity reductions of this equation. Furthermore, exact solutions of similarity reductions are obtained by modified Exp-Function method with computational symbolic. Some figures are obtained to show the properties of the solutions.http://etamaths.com/index.php/ijaa/article/view/2001
spellingShingle M.H.M. Moussa
A.A. Gaber
Symmetry Analysis and Solitary Wave Solutions of Nonlinear Ion-Acoustic Waves Equation
International Journal of Analysis and Applications
title Symmetry Analysis and Solitary Wave Solutions of Nonlinear Ion-Acoustic Waves Equation
title_full Symmetry Analysis and Solitary Wave Solutions of Nonlinear Ion-Acoustic Waves Equation
title_fullStr Symmetry Analysis and Solitary Wave Solutions of Nonlinear Ion-Acoustic Waves Equation
title_full_unstemmed Symmetry Analysis and Solitary Wave Solutions of Nonlinear Ion-Acoustic Waves Equation
title_short Symmetry Analysis and Solitary Wave Solutions of Nonlinear Ion-Acoustic Waves Equation
title_sort symmetry analysis and solitary wave solutions of nonlinear ion acoustic waves equation
url http://etamaths.com/index.php/ijaa/article/view/2001
work_keys_str_mv AT mhmmoussa symmetryanalysisandsolitarywavesolutionsofnonlinearionacousticwavesequation
AT aagaber symmetryanalysisandsolitarywavesolutionsofnonlinearionacousticwavesequation