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
Citation:
Grigoryev Y. A., Tsiganov A. V., Computing of the separated variables for the Hamilton-Jacobi equation on a computer, Rus. J. Nonlin. Dyn.,
2005, Vol. 1, No. 2,
pp. 163-179
DOI:10.20537/nd0502001