Linearization on a submanifold of integrable Hamiltonians with polynomial potentials

DOI10.1016/0167-2789(86)90174-0zbMath0601.58030OpenAlexW1964697514MaRDI QIDQ1081166

Jarmo Hietarinta, Alfred Ramani, Basile Grammaticos, Bernadette Dorizzi

Publication date: 1986

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(86)90174-0

zbMATH Keywords

integrable cubic potentialsintegrable Hamiltonians with quartic potentialsnon-generic solutions

Mathematics Subject Classification ID

Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)

Related Items

The Painlevé-Kowalevski and Poly-Painlevé Tests for Integrability ⋮ Generalized separability for a Hamiltonian with nonseparable quartic potential ⋮ Coalescence of singularities and Ziglin's approach to nonintegrability ⋮ Integrability of Toda lattice by generalized variational symmetry approach

Cites Work

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• Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial States
• The Painlevé property for partial differential equations. II: Bäcklund transformation, Lax pairs, and the Schwarzian derivative
• Integrability of Hamiltonians with third- and fourth-degree polynomial potentials
• Explicit integrability for Hamiltonian systems and the Painlevé conjecture