Lie symmetries of Benjamin-Ono equation

Lie Symmetry analysis is often used to exploit the conservative laws of nature and solve or at least reduce the order of differential equation. One dimension internal waves are best described by Benjamin-Ono equation which is a nonlinear partial integro-differential equation. Present article focuses...

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Autores principales:	Weidong Zhao, Mobeen Munir, Ghulam Murtaza, Muhammad Athar
Formato:	article
Lenguaje:	EN
Publicado:	AIMS Press 2021
Materias:	benjamin-ono equation lie symmetry one parameter lie group similarity reduction invariant solutions optimal system Biotechnology TP248.13-248.65 Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/9d0d524afe7e4041aadce2adce34a1f3
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spelling	oai:doaj.org-article:9d0d524afe7e4041aadce2adce34a1f32021-11-29T06:18:53ZLie symmetries of Benjamin-Ono equation10.3934/mbe.20214661551-0018https://doaj.org/article/9d0d524afe7e4041aadce2adce34a1f32021-10-01T00:00:00Zhttps://www.aimspress.com/article/doi/10.3934/mbe.2021466?viewType=HTMLhttps://doaj.org/toc/1551-0018Lie Symmetry analysis is often used to exploit the conservative laws of nature and solve or at least reduce the order of differential equation. One dimension internal waves are best described by Benjamin-Ono equation which is a nonlinear partial integro-differential equation. Present article focuses on the Lie symmetry analysis of this equation because of its importance. Lie symmetry analysis of this equation has been done but there are still some gaps and errors in the recent work. We claim that the symmetry algebra is of five dimensional. We reduce the model and solve it. We give its solution and analyze them graphically.Weidong ZhaoMobeen Munir Ghulam Murtaza Muhammad Athar AIMS Pressarticlebenjamin-ono equationlie symmetryone parameter lie groupsimilarity reductioninvariant solutionsoptimal systemBiotechnologyTP248.13-248.65MathematicsQA1-939ENMathematical Biosciences and Engineering, Vol 18, Iss 6, Pp 9496-9510 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	benjamin-ono equation lie symmetry one parameter lie group similarity reduction invariant solutions optimal system Biotechnology TP248.13-248.65 Mathematics QA1-939
spellingShingle	benjamin-ono equation lie symmetry one parameter lie group similarity reduction invariant solutions optimal system Biotechnology TP248.13-248.65 Mathematics QA1-939 Weidong Zhao Mobeen Munir Ghulam Murtaza Muhammad Athar Lie symmetries of Benjamin-Ono equation
description	Lie Symmetry analysis is often used to exploit the conservative laws of nature and solve or at least reduce the order of differential equation. One dimension internal waves are best described by Benjamin-Ono equation which is a nonlinear partial integro-differential equation. Present article focuses on the Lie symmetry analysis of this equation because of its importance. Lie symmetry analysis of this equation has been done but there are still some gaps and errors in the recent work. We claim that the symmetry algebra is of five dimensional. We reduce the model and solve it. We give its solution and analyze them graphically.
format	article
author	Weidong Zhao Mobeen Munir Ghulam Murtaza Muhammad Athar
author_facet	Weidong Zhao Mobeen Munir Ghulam Murtaza Muhammad Athar
author_sort	Weidong Zhao
title	Lie symmetries of Benjamin-Ono equation
title_short	Lie symmetries of Benjamin-Ono equation
title_full	Lie symmetries of Benjamin-Ono equation
title_fullStr	Lie symmetries of Benjamin-Ono equation
title_full_unstemmed	Lie symmetries of Benjamin-Ono equation
title_sort	lie symmetries of benjamin-ono equation
publisher	AIMS Press
publishDate	2021
url	https://doaj.org/article/9d0d524afe7e4041aadce2adce34a1f3
work_keys_str_mv	AT weidongzhao liesymmetriesofbenjaminonoequation AT mobeenmunir liesymmetriesofbenjaminonoequation AT ghulammurtaza liesymmetriesofbenjaminonoequation AT muhammadathar liesymmetriesofbenjaminonoequation
_version_	1718407601135288320

Lie symmetries of Benjamin-Ono equation

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