Systematic construction of separable systems with quadratic in momenta first integrals

Details Systematic construction of separable systems with quadratic in momenta first integrals Systematic construction of separable systems with quadratic in momenta first integrals

2003-09-16

arxiv.org/abs/nlin/0309044v1

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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