An integrable three-particle system

DOI10.1063/1.530585zbMath0802.70014OpenAlexW2121248748MaRDI QIDQ4300206

Manuel F. Rañada

Publication date: 31 July 1994

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

Full work available at URL: https://doi.org/10.1063/1.530585

zbMATH Keywords

existencegeneralized symmetriesnonlinear constants of motion in involutionToda Lagrangian

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Three-body problems (70F07) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Lagrange's equations (70H03)

Related Items

A new integrable Toda-related three-particle system ⋮ Lax formalism for a family of integrable Toda-related n-particle systems ⋮ Integrable three-particle systems, hidden symmetries and deformations of the Calogero–Moser system

Cites Work

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• Integrable potentials with logarithmic integrals of motion
• Integrability of Toda lattice by generalized variational symmetry approach
• Integrals of the Toda lattice
• The Toda lattice. II. Existence of integrals