Integrable systems on the sphere associated with genus three algebraic curves

Details Integrable systems on the sphere associated with genus three algebraic curves Integrable systems on the sphere associated with genus three algebraic curves

2011-09-08

arxiv.org/abs/1109.1629v1

Regular and Chaotic Dynamics, v.16, n 3-4, p. 396-414, 2011

Nonlinear Sciences

Exactly Solvable and Integrable Systems

19 pages, LaTeX with AMS fonts

Scientific paper

New variables of separation for few integrable systems on the two-dimensional sphere with higher order integrals of motion are considered in detail. We explicitly describe canonical transformations of initial physical variables to the variables of separation and vice versa, calculate the corresponding quadratures and discuss some possible integrable deformations of initial systems.

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