A class of integrable potentials

DOI10.1063/1.527682zbMath0638.70010OpenAlexW2038950746MaRDI QIDQ3779805

Tanaji Sen

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1063/1.527682

zbMATH Keywords

symmetry algebraharmonic oscillatorPainlevé analysisKepler potentialLax pair methodtime independent two-dimensional integrable potentialstransformation of coupling constants

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) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)

Related Items (9)

Contraction of broken symmetries via Kac-Moody formalism ⋮ New integrable problems in rigid body dynamics with quartic integrals ⋮ Are all classical superintegrable systems in two-dimensional space linearizable? ⋮ Superintegrable n=2 systems, quadratic constants of motion, and potentials of Drach ⋮ New Families of Integrable Two-Dimensional Systems with Quartic Second Integrals ⋮ A multidimensional superposition principle: numerical simulation and analysis of soliton invariant manifolds I ⋮ On two-dimensional integrable models with a cubic or quartic integral of motion ⋮ Generalisations of the LaplaceRungeLenz Vector ⋮ New integrable problems in the dynamics of particle and rigid body

Cites Work

• Unnamed Item

This page was built for publication: A class of integrable potentials