Geodesic
Computing of the separated variables for the Hamilton–Jacobi equation
Russian journal of nonlinear dynamics, Tome 1 (2005) no. 2, pp. 163-179 Cet article a éte moissonné depuis la source Math-Net.Ru

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We discuss an algorithm for calculating of the separated variables for the Hamilton–Jacobi equation for the wide class of the so-called $L$-systems on the Riemann manifolds of the constant curvature. We suggest a software implementation of this algorithm in the system of symbolic computations Maple and consider several examples.
Keywords: integrable systems, Hamilton–Jacobi equation, separation of variables. 
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     title = {Computing of the separated variables for the {Hamilton{\textendash}Jacobi} equation},
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Yu. A. Grigoryev; A. V. Tsiganov. Computing of the separated variables for the Hamilton–Jacobi equation. Russian journal of nonlinear dynamics, Tome 1 (2005) no. 2, pp. 163-179. http://geodesic.mathdoc.fr/item/ND_2005_1_2_a0/