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math.DG2004★ 2 cited
Four explicit formulas for the prolongations of an infinitesimal Lie symmetry and multivariate Faa di Bruno formulas
Joel Merker
In 1979, building on S. Lie's theory of symmetries of (partial) differrential equations, P.J. Olver formulated inductive formulas which are appropriate for the computation of the p…
math.DG2004★ 22 cited
Explicit differential characterization of the Newtonian free particle system in m > 1 dependent variables
Joel Merker
In 1883, as an early result, Sophus Lie established an explicit necessary and sufficient condition for an analytic second order ordinary differential equation y_xx = F(x,y,y_x) to…