Series of rational potentials separable in elliptic coordinates

DOI10.1134/S1064562406060135zbMath1208.37028OpenAlexW1971466493MaRDI QIDQ610514

S. T. Sadetov

Publication date: 8 December 2010

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562406060135

zbMATH Keywords

separable potentialsHamiltonian-Jacobi equationBogoyavlenskii-Wojciechowski polynomials

Mathematics Subject Classification ID

Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Hamilton-Jacobi equations in mechanics (70H20)

Related Items (1)

Relations between integrable systems in plane and curved spaces

Cites Work

• A completely integrable mechanical system
• Integrable one-particle potentials related to the Neumann system and the Jacobi problem of geodesic motion on an ellipsoid.
• Separation of variables on n-dimensional Riemannian manifolds. I. The n-sphere S n and Euclidean n-space R n

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