Homogeneous Stäckel-type systems
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Publication:1568028
DOI10.1007/BF02575497zbMath0960.37026OpenAlexW2334640736WikidataQ124829886 ScholiaQ124829886MaRDI QIDQ1568028
Publication date: 26 June 2000
Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf02575497
Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06)
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Cites Work
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- The classical \(r\)-matrix method and superintegrable systems
- The geometry of peaked solitons and billiard solutions of a class of integrable PDE's
- Separable systems of Stäckel
- Korteweg-de Vries equation: a completely integrable Hamiltonian system
- Theta functions and non-linear equations
- The Arnol′d formula for algebraically completely integrable systems
- Hamiltonian character of the motion of the zeros of a polynomial whose coefficients oscillate over time
- Quadrics on complex Riemannian spaces of constant curvature, separation of variables, and the Gaudin magnet
- The τ‐function of the universal whitham hierarchy, matrix models and topological field theories
- Integrability, Stäckel spaces, and rational potentials
- Lax representation for two-particle dynamics splitting on two tori
- Quasi-point separation of variables for the Henon - Heiles system and a system with a quartic potential
- Stationary problems for equation of the KdV type and dynamical r-matrices