Group projection method and the separation of variables for an integrable Hamiltonian system. (English) Zbl 0557.58016
Group theoretical methods in physics, 13th Int. Colloq., College Park/Md. 1984, 123-126 (1984).
[For the entire collection see Zbl 0547.00049.]
The paper provides an interesting comparison between the two methods of obtaining explicit solutions of completely integrable systems: symplectic reduction and algebraic geometrical separation of variables. The authors treat a specific example in this comparison and refer to a forthcoming paper for the details of the computation.
The paper provides an interesting comparison between the two methods of obtaining explicit solutions of completely integrable systems: symplectic reduction and algebraic geometrical separation of variables. The authors treat a specific example in this comparison and refer to a forthcoming paper for the details of the computation.
Reviewer: T.Ratiu
MSC:
| 37J35 | Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests |
| 37K10 | Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) |
| 70H20 | Hamilton-Jacobi equations in mechanics |
| 37J99 | Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems |
