On Superintegrable Systems with a Cubic Integral of Motion

DOI10.1088/0253-6102/69/1/9zbMath1387.37061OpenAlexW2783224938MaRDI QIDQ4640012

Lin Shang, Qing Huang

Publication date: 15 May 2018

Published in: Communications in Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0253-6102/69/1/9

zbMATH Keywords

Hamiltonian systemPoisson algebrasuper-integrabilityquadratic integralcubic integral

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10)

Related Items (2)

On certain integrable and superintegrable weight-homogeneous Hamiltonian systems ⋮ Superintegrability on the three-dimensional spaces with curvature. Oscillator-related and Kepler-related systems on the sphere S ³ and on the hyperbolic space H ³

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