Separation of variables in quasi-potential systems of bi-cofactor form

DOI10.1088/0305-4470/35/12/316zbMath1040.37042arXivnlin/0201058OpenAlexW3100494163MaRDI QIDQ4465604

Krzysztof Marciniak, Maciej Błaszak

Publication date: 9 June 2004

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0201058

zbMATH Keywords

Hamilton-Jacobi equationssymplectic leavesDarboux-Nijenhuis coordinatesbi-cofactor systemsbi-Hamiltonian separability theoryone-Casimir bi-Hamiltonian chainsStäckel theory

Mathematics Subject Classification ID

Nonlinear higher-order PDEs (35G20) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Poisson manifolds; Poisson groupoids and algebroids (53D17) Momentum maps; symplectic reduction (53D20) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) Hamilton-Jacobi equations in mechanics (70H20)

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