2 research outputs found
Integrable systems on the sphere associated with genus three algebraic curves
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.Comment: 19 pages, LaTeX with AMS font