On the question of the existence of a fourth integral of the Euler equations. (English. Russian original) Zbl 0624.70006
Math. USSR, Izv. 27, 609 (1986); translation from Izv. Akad. Nauk SSSR, Ser. Mat. 49, No. 6, p. 1338 (1985).
Concerns the author’s paper, ibid. 27, 203-218 (1986; Zbl 0616.70008).
MSC:
| 70E15 | Free motion of a rigid body |
| 22E70 | Applications of Lie groups to the sciences; explicit representations |
| 70H03 | Lagrange’s equations |
| 70H99 | Hamiltonian and Lagrangian mechanics |
| 37J99 | Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems |
| 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.) |
