# Lie Symmetries of Differential Equations: Classical Results and Recent Contributions

@article{Oliveri2010LieSO, title={Lie Symmetries of Differential Equations: Classical Results and Recent Contributions}, author={Francesco Oliveri}, journal={Symmetry}, year={2010}, volume={2}, pages={658-706} }

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…

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