Abstract
In the article a new method of constructing full integrable systems of the type of rigid body motion equations in an ideal fluid is described.
Similar content being viewed by others
References
Fomenko, A.T ., The group symplectic structures on the homogeneous spaces. Dokl. Akad. Nauk SSSR, 253:5, 1980, pp. 1062–1067.
Fomenko, A.T., Symplectic structures and intergrable systems on symetric spaces, Mat. Sb., 1981, vol. 115, No. 2 , pp. 263–280
Trofimov, V.V., Fomenko , A.T. , The realization of mechanical systems on orbits of solvable Lie algebras. Isv. Akad. Nauk SSSR, Ser . mech . tverd . tela , 1981 ; No . 3 ; p . 163.
Mischenko, A. S., Fomenko, A. T., The Euler equations on the finite-dimensional Lie groups. Isv. Akad . Nauk SSSR ; Ser . Math . 1978; vol. 42. No. 3, pp. 396–415.
Trofimov, V. V., Fomenko, A.T. , The method of the constructing of the Hamiltonian systems on the symmetric spaces and the full integrability of the hydrodynamical systems. Dokl.Akad.Nauk SSSR 254:6. 1980, pp. 1349–1353.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Fomenko, A.T. The integrability of some Hamiltonian systems. Ann Glob Anal Geom 1, 1–10 (1983). https://doi.org/10.1007/BF02330004
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1007/BF02330004