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A Note on Four-Dimensional Symmetry Algebras and Fourth-Order Ordinary Differential Equations
Author(s) -
A. Fatima,
M. Ayub,
F. M. Mahomed
Publication year - 2013
Publication title -
journal of applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.307
H-Index - 43
eISSN - 1687-0042
pISSN - 1110-757X
DOI - 10.1155/2013/848163
Subject(s) - mathematics , ordinary differential equation , ode , scalar (mathematics) , symmetry (geometry) , order (exchange) , first order , pure mathematics , lie algebra , differential equation , mathematical physics , mathematical analysis , geometry , finance , economics
We provide a supplementation of the results on the canonical forms for scalar fourth-order ordinary differential equations (ODEs) which admit four-dimensional Lie algebras obtained recently. Together with these new canonical forms, a complete list of scalar fourth-order ODEs that admit four-dimensional Lie algebras is available

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