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This article is cited in 5 scientific papers (total in 5 papers)
On the Cases of Kirchhoff and Chaplygin of the Kirchhoff Equations
Vladimir Dragovićab, Borislav Gajićb a Group of Mathematical Physics, University of Lisbon, av. Prof. Gama Pinto 2, PT-1649-003 Lisbon, Portugal
b Mathematical Institute, Serbian Academy of Science and Art,
Kneza Mihaila 36, 11000 Belgrade, Serbia
Abstract:
It is proven that the completely integrable general Kirchhoff case of the Kirchhoff equations for $B\ne 0$ is not an algebraic complete integrable system. Similar analytic behavior of the general solution of the Chaplygin case is detected. Four-dimensional analogues of the Kirchhoff and the Chaplygin cases are defined on $e(4)$ with the standard Lie–Poisson bracket.
Keywords:
Kirchhoff equations, Kirchhoff case, Chaplygin case, algebraic integrable systems.
Received: 13.10.2011 Accepted: 11.04.2012
Citation:
Vladimir Dragović, Borislav Gajić, “On the Cases of Kirchhoff and Chaplygin of the Kirchhoff Equations”, Regul. Chaotic Dyn., 17:5 (2012), 431–438
Linking options:
https://www.mathnet.ru/eng/rcd413 https://www.mathnet.ru/eng/rcd/v17/i5/p431
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