Symmetry Solutions and Conservation Laws for the 3D Generalized Potential Yu-Toda-Sasa-Fukuyama Equation of Mathematical Physics

In this paper we study the fourth-order three-dimensional generalized potential Yu-Toda-Sasa-Fukuyama (gpYTSF) equation by first computing its Lie point symmetries and then performing symmetry reductions. The resulting ordinary differential equations are then solved using direct integration, and exa...

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Autores principales:	Chaudry Masood Khalique, Karabo Plaatjie, Oageng Lawrence Diteho
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	three-dimensional generalized potential Yu-Toda-Sasa-Fukuyama equation Lie symmetries exact solution conservation laws Noether’s theorem Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/897c004b0c3d4fe295e89df71724c39f
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id	oai:doaj.org-article:897c004b0c3d4fe295e89df71724c39f
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spelling	oai:doaj.org-article:897c004b0c3d4fe295e89df71724c39f2021-11-25T19:06:23ZSymmetry Solutions and Conservation Laws for the 3D Generalized Potential Yu-Toda-Sasa-Fukuyama Equation of Mathematical Physics10.3390/sym131120582073-8994https://doaj.org/article/897c004b0c3d4fe295e89df71724c39f2021-11-01T00:00:00Zhttps://www.mdpi.com/2073-8994/13/11/2058https://doaj.org/toc/2073-8994In this paper we study the fourth-order three-dimensional generalized potential Yu-Toda-Sasa-Fukuyama (gpYTSF) equation by first computing its Lie point symmetries and then performing symmetry reductions. The resulting ordinary differential equations are then solved using direct integration, and exact solutions of gpYTSF equation are obtained. The obtained group invariant solutions include the solution in terms of incomplete elliptic integral. Furthermore, conservation laws for the gpYTSF equation are derived using both the multiplier and Noether’s methods. The multiplier method provides eight conservation laws, while the Noether’s theorem supplies seven conservation laws. These conservation laws include the conservation of energy and mass.Chaudry Masood KhaliqueKarabo PlaatjieOageng Lawrence DitehoMDPI AGarticlethree-dimensional generalized potential Yu-Toda-Sasa-Fukuyama equationLie symmetriesexact solutionconservation lawsNoether’s theoremMathematicsQA1-939ENSymmetry, Vol 13, Iss 2058, p 2058 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	three-dimensional generalized potential Yu-Toda-Sasa-Fukuyama equation Lie symmetries exact solution conservation laws Noether’s theorem Mathematics QA1-939
spellingShingle	three-dimensional generalized potential Yu-Toda-Sasa-Fukuyama equation Lie symmetries exact solution conservation laws Noether’s theorem Mathematics QA1-939 Chaudry Masood Khalique Karabo Plaatjie Oageng Lawrence Diteho Symmetry Solutions and Conservation Laws for the 3D Generalized Potential Yu-Toda-Sasa-Fukuyama Equation of Mathematical Physics
description	In this paper we study the fourth-order three-dimensional generalized potential Yu-Toda-Sasa-Fukuyama (gpYTSF) equation by first computing its Lie point symmetries and then performing symmetry reductions. The resulting ordinary differential equations are then solved using direct integration, and exact solutions of gpYTSF equation are obtained. The obtained group invariant solutions include the solution in terms of incomplete elliptic integral. Furthermore, conservation laws for the gpYTSF equation are derived using both the multiplier and Noether’s methods. The multiplier method provides eight conservation laws, while the Noether’s theorem supplies seven conservation laws. These conservation laws include the conservation of energy and mass.
format	article
author	Chaudry Masood Khalique Karabo Plaatjie Oageng Lawrence Diteho
author_facet	Chaudry Masood Khalique Karabo Plaatjie Oageng Lawrence Diteho
author_sort	Chaudry Masood Khalique
title	Symmetry Solutions and Conservation Laws for the 3D Generalized Potential Yu-Toda-Sasa-Fukuyama Equation of Mathematical Physics
title_short	Symmetry Solutions and Conservation Laws for the 3D Generalized Potential Yu-Toda-Sasa-Fukuyama Equation of Mathematical Physics
title_full	Symmetry Solutions and Conservation Laws for the 3D Generalized Potential Yu-Toda-Sasa-Fukuyama Equation of Mathematical Physics
title_fullStr	Symmetry Solutions and Conservation Laws for the 3D Generalized Potential Yu-Toda-Sasa-Fukuyama Equation of Mathematical Physics
title_full_unstemmed	Symmetry Solutions and Conservation Laws for the 3D Generalized Potential Yu-Toda-Sasa-Fukuyama Equation of Mathematical Physics
title_sort	symmetry solutions and conservation laws for the 3d generalized potential yu-toda-sasa-fukuyama equation of mathematical physics
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/897c004b0c3d4fe295e89df71724c39f
work_keys_str_mv	AT chaudrymasoodkhalique symmetrysolutionsandconservationlawsforthe3dgeneralizedpotentialyutodasasafukuyamaequationofmathematicalphysics AT karaboplaatjie symmetrysolutionsandconservationlawsforthe3dgeneralizedpotentialyutodasasafukuyamaequationofmathematicalphysics AT oagenglawrencediteho symmetrysolutionsandconservationlawsforthe3dgeneralizedpotentialyutodasasafukuyamaequationofmathematicalphysics
_version_	1718410288671227904

Symmetry Solutions and Conservation Laws for the 3D Generalized Potential Yu-Toda-Sasa-Fukuyama Equation of Mathematical Physics

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