Geodesic
Differential equations uniquely determined by algebras of point symmetries
Teoretičeskaâ i matematičeskaâ fizika, Tome 151 (2007) no. 3, pp. 486-494

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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
Mots-clés : jet space. 
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     title = {Differential equations uniquely determined by algebras of point symmetries},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     year = {2007},
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     url = {http://geodesic.mathdoc.fr/item/TMF_2007_151_3_a13/}
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G. Manno; F. Oliveri; R. Vitolo. Differential equations uniquely determined by algebras of point symmetries. Teoretičeskaâ i matematičeskaâ fizika, Tome 151 (2007) no. 3, pp. 486-494. http://geodesic.mathdoc.fr/item/TMF_2007_151_3_a13/