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scientific article; zbMATH DE number 7803104

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Publication:6192001
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MaRDI QIDQ6192001

Vladimir Sokolov, V. G. Marikhin

Publication date: 12 February 2024

Full work available at URL: http://mathnet.ru/eng/nd190

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

separation of variablesaction functioncovering of elliptic curve


Mathematics Subject Classification ID

Dynamical systems and ergodic theory (37-XX)




Cites Work

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  • A Lax pair for Kowalevski's top
  • The Kowalewski and Hénon-Heiles motions as Manakov geodesic flows on SO(4) - a two-dimensional family of Lax pairs
  • Commuting quadratic Hamiltonians with velocity dependent potentials
  • On integration of the Kowalevski gyrostat and the Clebsch problems
  • Separation of variables in the elliptic Gaudin model.
  • The Kowalewski top 99 years later: a Lax pair, generalizations and explicit solutions
  • Non-homogeneous systems of hydrodynamic type, related to quadratic Hamiltonians with electromagnetic term
  • Reductions of the Benney equations.
  • Integrable and superintegrable Hamiltonian systems in magnetic fields
  • Integrable Hamiltonian systems with velocity-dependent potentials
  • The Group $O(4)$, Separation of Variables and the Hydrogen Atom


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