Geodesic
A Computer Algebra Application to Determination of Lie Symmetries of Partial Differential Equations
Serdica Journal of Computing, Tome 1 (2007) no. 4, pp. 505-518.

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A MATHEMATICA package for finding Lie symmetries of partial differential equations is presented. The package is designed to create and solve the associated determining system of equations, the full set of solutions of which generates the widest permissible local Lie group of point symmetry transformations. Examples illustrating the functionality of the package's tools are given. The results of the package application to performing a full Lie group analysis of coupled nonlinear Schrödinger equations from nonlinear fiber optics are presented. Comparisons with earlier published computer algebra implementations of the Lie group method are discussed.
Keywords: Mathematica Package, Lie Symmetries, Partial Differential Equations 
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Pulov, Vladimir; Chacarov, Edy; Uzunov, Ivan. A Computer Algebra Application to Determination of Lie Symmetries of Partial Differential Equations. Serdica Journal of Computing, Tome 1 (2007) no. 4, pp. 505-518. http://geodesic.mathdoc.fr/item/SJC_2007_1_4_a7/