Group Analysis of a Hamilton – Jacobi Type Equation

dc.contributor.author	Jervin Zen Lobo
dc.date.accessioned	2026-03-18T06:42:17Z
dc.date.issued	2023-01-31
dc.description.abstract	"Abstract In this paper, we apply Lie group theory to a Hamilton-Jacobi type equation, which is a nonlinear partial differential equation of the first order. We then employ the local inverse theorem to build the Lie invariance condition for this equation. The determining equations are then obtained by using this condition. We split and solve these obtained equations to obtain the symmetries of the equation under study. We obtain the largest solvable Lie algebra. We also obtain the symmetry algebra and make a group classification of this equation. Further, some exact solutions are deduced and represented graphically."
dc.identifier.citation	2
dc.identifier.issn	ISSN: 0972-0502, e-ISSN: 2169-012X
dc.identifier.other	https://doi.org/10.47974/JIM-1646
dc.identifier.uri	https://sxcgoa.ndl.gov.in/handle/123456789/13
dc.language.iso	en
dc.publisher	Taru Publishers (Taylor and Francis Online)
dc.relation.ispartofseries	Voulme :26; Issue:01
dc.subject	Hamilton
dc.subject	Jacobi equation
dc.subject	Lie algebra
dc.subject	Partial differential equations
dc.subject	Symmetry
dc.title	Group Analysis of a Hamilton – Jacobi Type Equation
dc.type	Article

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