Separable coordinates, integrability and the Niven equations

DOI10.1088/0305-4470/25/21/022zbMath0764.35081OpenAlexW2082278826MaRDI QIDQ4033664

Ernest G. Kalnins, Willard jun. Miller

Publication date: 16 May 1993

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

Full work available at URL: http://purl.umn.edu/1887

zbMATH Keywords

Lie algebraintegrals of motionEuler top

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) PDEs in connection with quantum mechanics (35Q40) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Invariance and symmetry properties for PDEs on manifolds (58J70)

Related Items (4)

Harmonics on hyperspheres, separation of variables and the Bethe ansatz ⋮ Superintegrability on the two-dimensional hyperboloid ⋮ Quadratic divisors of harmonic polynomials in \(\mathbb{R}^n\) ⋮ Spectral asymptotic for the high-dimensional Euler top

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