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- Title
Separation of Variables for Integrable Systems on Poisson Manifolds.
- Authors
Tsiganov, A. V.
- Abstract
For an integrable system on Poisson manifolds, a construction of separated variables is discussed. We suppose that, for a given integrable system, we know a realization of the corresponding Lagrangian submanifold as the product of plane curves. In this case, we can use properties of the foliation of the initial Poisson manifold on symplectic leaves and values of the Casimir functions in order to construct separated variables.
- Subjects
POISSON manifolds; DIFFERENTIABLE manifolds
- Publication
Physics of Atomic Nuclei, 2002, Vol 65, Issue 6, p1128
- ISSN
1063-7788
- Publication type
Article
- DOI
10.1134/1.1490122