Integrable natural systems in pseudoeuclidean plane.

DOI10.1016/S0034-4877(01)80071-9zbMath1041.37030OpenAlexW2082941578MaRDI QIDQ696321

A. A. Zaitsev, T. Koreshova

Publication date: 12 September 2002

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0034-4877(01)80071-9

zbMATH Keywords

Darboux-Nijenhuis tensorNatural Hamiltonian system

Mathematics Subject Classification ID

Nonlinear first-order PDEs (35F20) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Poisson manifolds; Poisson groupoids and algebroids (53D17) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) Canonical and symplectic transformations for problems in Hamiltonian and Lagrangian mechanics (70H15)

Cites Work

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• Concerning natural Hamiltonian systems integrable in elliptic coordinates
• When is a Hamiltonian system separable?
• Degenerate Poisson Pencils on Curves: New Separability Theory

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