$Algebraic computational methods for solving three nonlinear vital models fractional in mathematical physics$
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Algebraic computational methods for solving three nonlinear vital models fractional in mathematical physics

This research paper uses a direct algebraic computational scheme to construct the Jacobi elliptic solutions based on the conformal fractional derivatives for nonlinear partial fractional differential equations (NPFDEs). Three vital models in mathematical physics [the space-time fractional coupled Hi...

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Autores principales:	Gepreel Khaled A., Mahdy Amr M. S.
Formato:	article
Lenguaje:	EN
Publicado:	De Gruyter 2021
Materias:	physical application of pfdes algebraic method optical solution local fractional derivatives jacobi elliptic functions Physics QC1-999
Acceso en línea:	https://doaj.org/article/ddaa5011096945128998dc84c404c50f
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spelling	oai:doaj.org-article:ddaa5011096945128998dc84c404c50f2021-12-05T14:11:01ZAlgebraic computational methods for solving three nonlinear vital models fractional in mathematical physics2391-547110.1515/phys-2021-0020https://doaj.org/article/ddaa5011096945128998dc84c404c50f2021-04-01T00:00:00Zhttps://doi.org/10.1515/phys-2021-0020https://doaj.org/toc/2391-5471This research paper uses a direct algebraic computational scheme to construct the Jacobi elliptic solutions based on the conformal fractional derivatives for nonlinear partial fractional differential equations (NPFDEs). Three vital models in mathematical physics [the space-time fractional coupled Hirota Satsuma KdV equations, the space-time fractional symmetric regularized long wave (SRLW equation), and the space-time fractional coupled Sakharov–Kuznetsov (S–K) equations] are investigated through the direct algebraic method for more explanation of their novel characterizes. This approach is an easy and powerful way to find elliptical Jacobi solutions to NPFDEs. The hyperbolic function solutions and trigonometric functions where the modulus and, respectively, are degenerated by Jacobi elliptic solutions. In this style, we get many different kinds of traveling wave solutions such as rational wave traveling solutions, periodic, soliton solutions, and Jacobi elliptic solutions to nonlinear evolution equations in mathematical physics. With the suggested method, we were fit to find much explicit wave solutions of nonlinear integral differential equations next converting them into a differential equation. We do the 3D and 2D figures to define the kinds of outcome solutions. This style is moving, reliable, powerful, and easy for solving more difficult nonlinear physics mathematically.Gepreel Khaled A.Mahdy Amr M. S.De Gruyterarticlephysical application of pfdesalgebraic methodoptical solutionlocal fractional derivativesjacobi elliptic functionsPhysicsQC1-999ENOpen Physics, Vol 19, Iss 1, Pp 152-169 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	physical application of pfdes algebraic method optical solution local fractional derivatives jacobi elliptic functions Physics QC1-999
spellingShingle	physical application of pfdes algebraic method optical solution local fractional derivatives jacobi elliptic functions Physics QC1-999 Gepreel Khaled A. Mahdy Amr M. S. Algebraic computational methods for solving three nonlinear vital models fractional in mathematical physics
description	This research paper uses a direct algebraic computational scheme to construct the Jacobi elliptic solutions based on the conformal fractional derivatives for nonlinear partial fractional differential equations (NPFDEs). Three vital models in mathematical physics [the space-time fractional coupled Hirota Satsuma KdV equations, the space-time fractional symmetric regularized long wave (SRLW equation), and the space-time fractional coupled Sakharov–Kuznetsov (S–K) equations] are investigated through the direct algebraic method for more explanation of their novel characterizes. This approach is an easy and powerful way to find elliptical Jacobi solutions to NPFDEs. The hyperbolic function solutions and trigonometric functions where the modulus and, respectively, are degenerated by Jacobi elliptic solutions. In this style, we get many different kinds of traveling wave solutions such as rational wave traveling solutions, periodic, soliton solutions, and Jacobi elliptic solutions to nonlinear evolution equations in mathematical physics. With the suggested method, we were fit to find much explicit wave solutions of nonlinear integral differential equations next converting them into a differential equation. We do the 3D and 2D figures to define the kinds of outcome solutions. This style is moving, reliable, powerful, and easy for solving more difficult nonlinear physics mathematically.
format	article
author	Gepreel Khaled A. Mahdy Amr M. S.
author_facet	Gepreel Khaled A. Mahdy Amr M. S.
author_sort	Gepreel Khaled A.
title	Algebraic computational methods for solving three nonlinear vital models fractional in mathematical physics
title_short	Algebraic computational methods for solving three nonlinear vital models fractional in mathematical physics
title_full	Algebraic computational methods for solving three nonlinear vital models fractional in mathematical physics
title_fullStr	Algebraic computational methods for solving three nonlinear vital models fractional in mathematical physics
title_full_unstemmed	Algebraic computational methods for solving three nonlinear vital models fractional in mathematical physics
title_sort	algebraic computational methods for solving three nonlinear vital models fractional in mathematical physics
publisher	De Gruyter
publishDate	2021
url	https://doaj.org/article/ddaa5011096945128998dc84c404c50f
work_keys_str_mv	AT gepreelkhaleda algebraiccomputationalmethodsforsolvingthreenonlinearvitalmodelsfractionalinmathematicalphysics AT mahdyamrms algebraiccomputationalmethodsforsolvingthreenonlinearvitalmodelsfractionalinmathematicalphysics
_version_	1718371508612497408

Algebraic computational methods for solving three nonlinear vital models fractional in mathematical physics

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