This article is cited in 13 papers

Differential equations uniquely determined by algebras of point symmetries

G. Manno^a, F. Oliveri^b, R. Vitolo<sup>a

a</sup> Lecce University
^b University of Messina

Abstract: We continue to investigate strongly and weakly Lie remarkable equations, which we defined in a recent paper. We consider some relevant algebras of vector fields on $\mathbb{R}^k$ (such as the isometric, affine, projective, or conformal algebras) and characterize strongly Lie remarkable equations admitted by the considered Lie algebras.

Keywords: Lie symmetries of differential equations, jet space.

DOI: 10.4213/tmf6061

 English version: Theoretical and Mathematical Physics, 2007, 151:3, 843–850

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