Lie Symmetries of Differential Equations: Classical Results and Recent ContributionsReport as inadecuate




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Department of Mathematics, University of Messina, Contrada Papardo, Viale Ferdinando Stagno d’Alcontres 31, I–98166 Messina, Italy





Abstract Lie symmetry analysis of differential equations provides a powerful and fundamental framework to the exploitation of systematic procedures leading to the integration by quadrature or at least to lowering the order of ordinary differential equations, to the determination of invariant solutions of initial and boundary value problems, to the derivation of conservation laws, to the construction of links between different differential equations that turn out to be equivalent. This paper reviews some well known results of Lie group analysis, as well as some recent contributions concerned with the transformation of differential equations to equivalent forms useful to investigate applied problems.

Keywords: lie point symmetries; invariance of differential equations; invertible mappings between differential equations lie point symmetries; invariance of differential equations; invertible mappings between differential equations





Author: Francesco Oliveri

Source: http://mdpi.com/



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