We discuss a computer implementation of the known algorithm of finding separation coordinates for a special class of orthogonal separable systems called $L$-systems or Benenti systems.
Keywords:
integrable systems, Hamilton–Jacobi equation, separation of variables
Citation:
Grigoryev Y. A., Tsiganov A. V., Symbolic software for separation of variables in the Hamilton–Jacobi equation for the $L$-systems , Regular and Chaotic Dynamics,
2005, Volume 10, Number 4,
pp. 413-422