$Construction of abundant novel analytical solutions of the space–time fractional nonlinear generalized equal width model via Riemann–Liouville derivative with application of mathematical methods$
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Construction of abundant novel analytical solutions of the space–time fractional nonlinear generalized equal width model via Riemann–Liouville derivative with application of mathematical methods

The space–time fractional generalized equal width (GEW) equation is an imperative model which is utilized to represent the nonlinear dispersive waves, namely, waves flowing in the shallow water strait, one-dimensional wave origination escalating in the nonlinear dispersive medium approximation, geli...

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Autores principales:	Seadawy Aly R., Ali Asghar, Althobaiti Saad, El-Rashidy Khaled
Formato:	article
Lenguaje:	EN
Publicado:	De Gruyter 2021
Materias:	fractional order gew model riemann–liouville fractional derivative mathematical methods exact and solitary solutions Physics QC1-999
Acceso en línea:	https://doaj.org/article/b381f86cf8294af5b689872e9ff1e192
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id	oai:doaj.org-article:b381f86cf8294af5b689872e9ff1e192
record_format	dspace
spelling	oai:doaj.org-article:b381f86cf8294af5b689872e9ff1e1922021-12-05T14:11:02ZConstruction of abundant novel analytical solutions of the space–time fractional nonlinear generalized equal width model via Riemann–Liouville derivative with application of mathematical methods2391-547110.1515/phys-2021-0076https://doaj.org/article/b381f86cf8294af5b689872e9ff1e1922021-11-01T00:00:00Zhttps://doi.org/10.1515/phys-2021-0076https://doaj.org/toc/2391-5471The space–time fractional generalized equal width (GEW) equation is an imperative model which is utilized to represent the nonlinear dispersive waves, namely, waves flowing in the shallow water strait, one-dimensional wave origination escalating in the nonlinear dispersive medium approximation, gelid plasma, hydro magnetic waves, electro magnetic interaction, etc. In this manuscript, we probe advanced and broad-spectrum wave solutions of the formerly betokened model with the Riemann–Liouville fractional derivative via the prosperously implementation of two mathematical methods: modified elongated auxiliary equation mapping and amended simple equation methods. The nonlinear fractional differential equation (NLFDE) is renovated into ordinary differential equation by the composite function derivative and the chain rule putting together along with the wave transformations. We acquire several types of exact soliton solutions by setting specific values of the personified parameters. The proposed schemes are expedient, influential, and computationally viable to scrutinize notches of NLFDEs.Seadawy Aly R.Ali AsgharAlthobaiti SaadEl-Rashidy KhaledDe Gruyterarticlefractional order gew modelriemann–liouville fractional derivativemathematical methodsexact and solitary solutionsPhysicsQC1-999ENOpen Physics, Vol 19, Iss 1, Pp 657-668 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	fractional order gew model riemann–liouville fractional derivative mathematical methods exact and solitary solutions Physics QC1-999
spellingShingle	fractional order gew model riemann–liouville fractional derivative mathematical methods exact and solitary solutions Physics QC1-999 Seadawy Aly R. Ali Asghar Althobaiti Saad El-Rashidy Khaled Construction of abundant novel analytical solutions of the space–time fractional nonlinear generalized equal width model via Riemann–Liouville derivative with application of mathematical methods
description	The space–time fractional generalized equal width (GEW) equation is an imperative model which is utilized to represent the nonlinear dispersive waves, namely, waves flowing in the shallow water strait, one-dimensional wave origination escalating in the nonlinear dispersive medium approximation, gelid plasma, hydro magnetic waves, electro magnetic interaction, etc. In this manuscript, we probe advanced and broad-spectrum wave solutions of the formerly betokened model with the Riemann–Liouville fractional derivative via the prosperously implementation of two mathematical methods: modified elongated auxiliary equation mapping and amended simple equation methods. The nonlinear fractional differential equation (NLFDE) is renovated into ordinary differential equation by the composite function derivative and the chain rule putting together along with the wave transformations. We acquire several types of exact soliton solutions by setting specific values of the personified parameters. The proposed schemes are expedient, influential, and computationally viable to scrutinize notches of NLFDEs.
format	article
author	Seadawy Aly R. Ali Asghar Althobaiti Saad El-Rashidy Khaled
author_facet	Seadawy Aly R. Ali Asghar Althobaiti Saad El-Rashidy Khaled
author_sort	Seadawy Aly R.
title	Construction of abundant novel analytical solutions of the space–time fractional nonlinear generalized equal width model via Riemann–Liouville derivative with application of mathematical methods
title_short	Construction of abundant novel analytical solutions of the space–time fractional nonlinear generalized equal width model via Riemann–Liouville derivative with application of mathematical methods
title_full	Construction of abundant novel analytical solutions of the space–time fractional nonlinear generalized equal width model via Riemann–Liouville derivative with application of mathematical methods
title_fullStr	Construction of abundant novel analytical solutions of the space–time fractional nonlinear generalized equal width model via Riemann–Liouville derivative with application of mathematical methods
title_full_unstemmed	Construction of abundant novel analytical solutions of the space–time fractional nonlinear generalized equal width model via Riemann–Liouville derivative with application of mathematical methods
title_sort	construction of abundant novel analytical solutions of the space–time fractional nonlinear generalized equal width model via riemann–liouville derivative with application of mathematical methods
publisher	De Gruyter
publishDate	2021
url	https://doaj.org/article/b381f86cf8294af5b689872e9ff1e192
work_keys_str_mv	AT seadawyalyr constructionofabundantnovelanalyticalsolutionsofthespacetimefractionalnonlineargeneralizedequalwidthmodelviariemannliouvillederivativewithapplicationofmathematicalmethods AT aliasghar constructionofabundantnovelanalyticalsolutionsofthespacetimefractionalnonlineargeneralizedequalwidthmodelviariemannliouvillederivativewithapplicationofmathematicalmethods AT althobaitisaad constructionofabundantnovelanalyticalsolutionsofthespacetimefractionalnonlineargeneralizedequalwidthmodelviariemannliouvillederivativewithapplicationofmathematicalmethods AT elrashidykhaled constructionofabundantnovelanalyticalsolutionsofthespacetimefractionalnonlineargeneralizedequalwidthmodelviariemannliouvillederivativewithapplicationofmathematicalmethods
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Construction of abundant novel analytical solutions of the space–time fractional nonlinear generalized equal width model via Riemann–Liouville derivative with application of mathematical methods

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