Geodesic
Computing of the separated variables for the Hamilton--Jacobi equation
Russian journal of nonlinear dynamics, Tome 1 (2005) no. 2, pp. 163-179.

Voir la notice de l'article provenant de la source Math-Net.Ru

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. 
@article{ND_2005_1_2_a0,
     author = {Yu. A. Grigoryev and A. V. Tsiganov},
     title = {Computing of the separated variables for the {Hamilton--Jacobi} equation},
     journal = {Russian journal of nonlinear dynamics},
     pages = {163--179},
     publisher = {mathdoc},
     volume = {1},
     number = {2},
     year = {2005},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ND_2005_1_2_a0/}
}
TY  - JOUR
AU  - Yu. A. Grigoryev
AU  - A. V. Tsiganov
TI  - Computing of the separated variables for the Hamilton--Jacobi equation
JO  - Russian journal of nonlinear dynamics
PY  - 2005
SP  - 163
EP  - 179
VL  - 1
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ND_2005_1_2_a0/
LA  - ru
ID  - ND_2005_1_2_a0
ER  - 
%0 Journal Article
%A Yu. A. Grigoryev
%A A. V. Tsiganov
%T Computing of the separated variables for the Hamilton--Jacobi equation
%J Russian journal of nonlinear dynamics
%D 2005
%P 163-179
%V 1
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ND_2005_1_2_a0/
%G ru
%F ND_2005_1_2_a0
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/