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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2021
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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) |
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SRLW Equation Symmetry reduction Soliton solutions Conservation laws Engineering (General). Civil engineering (General) TA1-2040 |
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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 |
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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 |
work_keys_str_mv |
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1718418247002357760 |