Geodesic
Canonical Form Transformation of Second Order Differential Equations with Lie Symmetries
Journal of Lie theory, Tome 10 (2000) no. 2, pp. 411-433.

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@article{JLT_2000_10_2_a11,
     author = {F. Schwarz},
     title = {Canonical {Form} {Transformation} of {Second} {Order} {Differential} {Equations} with {Lie} {Symmetries}},
     journal = {Journal of Lie theory},
     pages = {411--433},
     publisher = {mathdoc},
     volume = {10},
     number = {2},
     year = {2000},
     url = {http://geodesic.mathdoc.fr/item/JLT_2000_10_2_a11/}
}
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F. Schwarz. Canonical Form Transformation of Second Order Differential Equations with Lie Symmetries. Journal of Lie theory, Tome 10 (2000) no. 2, pp. 411-433. http://geodesic.mathdoc.fr/item/JLT_2000_10_2_a11/