Geodesic
GROUP FOLIATION OF DIFFERENTIAL EQUATIONS USING MOVING FRAMES
Forum of Mathematics, Sigma, Tome 3 (2015)

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We incorporate the new theory of equivariant moving frames for Lie pseudogroups into Vessiot’s method of group foliation of differential equations. The automorphic system is replaced by a set of reconstruction equations on the pseudogroup jets. The result is a completely algorithmic and symbolic procedure for finding both invariant and noninvariant solutions of differential equations admitting a symmetry group. 
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     author = {ROBERT THOMPSON and FRANCIS VALIQUETTE},
     title = {GROUP {FOLIATION} {OF} {DIFFERENTIAL} {EQUATIONS} {USING} {MOVING} {FRAMES}},
     journal = {Forum of Mathematics, Sigma},
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     doi = {10.1017/fms.2015.24},
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     url = {http://geodesic.mathdoc.fr/articles/10.1017/fms.2015.24/}
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ROBERT THOMPSON; FRANCIS VALIQUETTE. GROUP FOLIATION OF DIFFERENTIAL EQUATIONS USING MOVING FRAMES. Forum of Mathematics, Sigma, Tome 3 (2015). doi: 10.1017/fms.2015.24

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