Solitary wave patterns and conservation laws of fourth-order nonlinear symmetric regularized long-wave equation arising in plasma

In this paper, we study a fourth-order nonlinear symmetric regularized long-wave equation which arises in several physical applications including ion sound waves in plasma. This model also describes nonlinear ion-acoustic and space-charge waves. Lie group analysis and the tanh-coth method is utilize...

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Autores principales: Amjad Hussain, Adil Jhangeer, Naseem Abbas, Ilyas Khan, Kottakkaran Sooppy Nisar
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Lenguaje:EN
Publicado: Elsevier 2021
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spelling oai:doaj.org-article:c1db8cdede554d25a4c9e0f0a0029aa82021-11-22T04:20:43ZSolitary wave patterns and conservation laws of fourth-order nonlinear symmetric regularized long-wave equation arising in plasma2090-447910.1016/j.asej.2020.11.029https://doaj.org/article/c1db8cdede554d25a4c9e0f0a0029aa82021-12-01T00:00:00Zhttp://www.sciencedirect.com/science/article/pii/S2090447921001246https://doaj.org/toc/2090-4479In this paper, we study a fourth-order nonlinear symmetric regularized long-wave equation which arises in several physical applications including ion sound waves in plasma. This model also describes nonlinear ion-acoustic and space-charge waves. Lie group analysis and the tanh-coth method is utilized for the construction of solitary wave solutions to the equation. Based on each symmetry, we reduce the considered partial differential equation into different ordinary differential equations. The obtained equations are solved and new solitary wave patterns are reported. To understand the physical interpretation, some solitary wave structures are exhibited graphically. Also, by using the multiplier approach, we constructed the local conservation laws of the considered equation.Amjad HussainAdil JhangeerNaseem AbbasIlyas KhanKottakkaran Sooppy NisarElsevierarticleSRLW EquationSymmetry reductionSoliton solutionsConservation lawsEngineering (General). Civil engineering (General)TA1-2040ENAin Shams Engineering Journal, Vol 12, Iss 4, Pp 3919-3930 (2021)
institution DOAJ
collection DOAJ
language EN
topic SRLW Equation
Symmetry reduction
Soliton solutions
Conservation laws
Engineering (General). Civil engineering (General)
TA1-2040
spellingShingle SRLW Equation
Symmetry reduction
Soliton solutions
Conservation laws
Engineering (General). Civil engineering (General)
TA1-2040
Amjad Hussain
Adil Jhangeer
Naseem Abbas
Ilyas Khan
Kottakkaran Sooppy Nisar
Solitary wave patterns and conservation laws of fourth-order nonlinear symmetric regularized long-wave equation arising in plasma
description In this paper, we study a fourth-order nonlinear symmetric regularized long-wave equation which arises in several physical applications including ion sound waves in plasma. This model also describes nonlinear ion-acoustic and space-charge waves. Lie group analysis and the tanh-coth method is utilized for the construction of solitary wave solutions to the equation. Based on each symmetry, we reduce the considered partial differential equation into different ordinary differential equations. The obtained equations are solved and new solitary wave patterns are reported. To understand the physical interpretation, some solitary wave structures are exhibited graphically. Also, by using the multiplier approach, we constructed the local conservation laws of the considered equation.
format article
author Amjad Hussain
Adil Jhangeer
Naseem Abbas
Ilyas Khan
Kottakkaran Sooppy Nisar
author_facet Amjad Hussain
Adil Jhangeer
Naseem Abbas
Ilyas Khan
Kottakkaran Sooppy Nisar
author_sort Amjad Hussain
title Solitary wave patterns and conservation laws of fourth-order nonlinear symmetric regularized long-wave equation arising in plasma
title_short Solitary wave patterns and conservation laws of fourth-order nonlinear symmetric regularized long-wave equation arising in plasma
title_full Solitary wave patterns and conservation laws of fourth-order nonlinear symmetric regularized long-wave equation arising in plasma
title_fullStr Solitary wave patterns and conservation laws of fourth-order nonlinear symmetric regularized long-wave equation arising in plasma
title_full_unstemmed Solitary wave patterns and conservation laws of fourth-order nonlinear symmetric regularized long-wave equation arising in plasma
title_sort solitary wave patterns and conservation laws of fourth-order nonlinear symmetric regularized long-wave equation arising in plasma
publisher Elsevier
publishDate 2021
url https://doaj.org/article/c1db8cdede554d25a4c9e0f0a0029aa8
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AT naseemabbas solitarywavepatternsandconservationlawsoffourthordernonlinearsymmetricregularizedlongwaveequationarisinginplasma
AT ilyaskhan solitarywavepatternsandconservationlawsoffourthordernonlinearsymmetricregularizedlongwaveequationarisinginplasma
AT kottakkaransooppynisar solitarywavepatternsandconservationlawsoffourthordernonlinearsymmetricregularizedlongwaveequationarisinginplasma
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