A new class of integrable systems

DOI10.1063/1.525975zbMath0547.70016OpenAlexW2005312772MaRDI QIDQ6339537

Bernadette Dorizzi, Basile Grammaticos

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1063/1.525975

zbMATH Keywords

singularitiesintegral of motiondynamical systemsintegrability conditionmotion of a particle

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Hamilton's equations (70H05) Dynamics of a system of particles, including celestial mechanics (70F99) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35)

Cites Work

• Three integrable Hamiltonian systems connected with isospectral deformations
• Integrability of Hamiltonians with third- and fourth-degree polynomial potentials
• A connection between nonlinear evolution equations and ordinary differential equations of P-type. I
• Analytic structure of the Henon–Heiles Hamiltonian in integrable and nonintegrable regimes
• Integrals of the Toda lattice

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