Nonlinear Sciences – Exactly Solvable and Integrable Systems
Scientific paper
2008-05-22
Journal of Physics A: Math. Theor., v. 41, 335204, 2008
Nonlinear Sciences
Exactly Solvable and Integrable Systems
18 pages, the talk given on the conference "Superintegrable Systems in Classical and Quantum Mechanics", Prague 2008
Scientific paper
10.1088/1751-8113/41/33/335204
We propose new construction of the polynomial integrals of motion related to
the addition theorems. As an example we reconstruct Drach systems and get some
new two-dimensional superintegrable Stackel systems with third, fifth and
seventh order integrals of motion.
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