Nonlinear Sciences – Exactly Solvable and Integrable Systems
Scientific paper
2003-09-16
Nonlinear Sciences
Exactly Solvable and Integrable Systems
12 pages, Symmetry in Nonlinear Mathematical Physics, June 23-29, 2003 Kyiev
Scientific paper
Liouville integrable separable systems with quadratic in momenta first
integrals are considered. Particular attention is paid to the systems generated
by the so-called special conformal Killing tensors, i.e. Benenti systems. Then,
infinitely many new classes of separable systems are constructed by appropriate
deformations of Benenti class systems.
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