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This article is cited in 4 scientific papers (total in 4 papers)
Integrability of the Euler equations on homogeneous symplectic manifolds
Dào Trong Thi
Abstract:
Any strictly homogeneous symplectic manifold $M$ with a group of motions $\mathscr G$ may be considered as an orbit of the coadjoint action of $\mathscr G$. Therefore all Hamiltonian systems defined on an orbit, in particular Euler's equations, are carried over to $M$ in a natural way. In this paper a multiparameter family of systems of Euler equations is constructed on $M$, and their complete integrability (in the Liouville sense) is proved.
Bibliography: 6 titles.
Received: 21.03.1977
Citation:
Dào Trong Thi, “Integrability of the Euler equations on homogeneous symplectic manifolds”, Mat. Sb. (N.S.), 106(148):2(6) (1978), 154–161; Math. USSR-Sb., 34:6 (1978), 707–713
Linking options:
https://www.mathnet.ru/eng/sm2562https://doi.org/10.1070/SM1978v034n06ABEH001342 https://www.mathnet.ru/eng/sm/v148/i2/p154
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Abstract page: | 335 | Russian version PDF: | 91 | English version PDF: | 13 | References: | 53 |
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