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A completely integrable mechanical system. (English) Zbl 0526.70021


MSC:

70H20 Hamilton-Jacobi equations in mechanics
37J35 Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests
37K10 Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.)
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References:

[1] EilenbergerG., Solitons, Springer Series in Solid State Physics, No. 19, Springer-Verlag, Berlin, 1980. Macfarlane, A.J., CERN preprint, TH3289, 1982.
[2] OlshanetskyM.A. and PerelomovA.M., Phys. Rep. 71, 5 (1981). · doi:10.1016/0370-1573(81)90023-5
[3] GoldsteinH., Classical Mechanics, Addison-Wesley, Reading, MA, 1978.
[4] NeumannC., Crelle’s Journal 56, 46 (1859).
[5] MoserJ., Geometry of Quadrics in Spectral Theory, in The Chern Symposium, 1979, Hsiang (ed.), Springer-Verlag, N.Y., 1980.
[6] Routh, E.J., A Treatise on Dynamics of a Particle, Cambridge University Press, 1898.
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