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Nonlinear Sciences > Exactly Solvable and Integrable Systems

arXiv:nlin/0302062 (nlin)
[Submitted on 28 Feb 2003]

Title:Generalization of the Goryachev-Chaplygin Case

Authors:A. V. Borisov, I. S. Mamaev (Institute of Computer Science)
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Abstract: In this paper we present a generalization of the Goryachev-Chaplygin integrable case on a bundle of Poisson brackets, and on Sokolov terms in his new integrable case of Kirchhoff equations. We also present a new analogous integrable case for the quaternion form of rigid body dynamics' equations. This form of equations is recently developed and we can use it for the description of rigid body motions in specific force fields, and for the study of different problems of quantum mechanics. In addition we present new invariant relations in the considered problems.
Comments: 10 pages
Subjects: Exactly Solvable and Integrable Systems (nlin.SI)
Report number: DOI: 10.1070/RD2002v007no1ABEH000192
Cite as: arXiv:nlin/0302062 [nlin.SI]
  (or arXiv:nlin/0302062v1 [nlin.SI] for this version)
  https://doi.org/10.48550/arXiv.nlin/0302062
Journal reference: Regular and Chaotic Dynamics, V.7, #1, 2002, p.21-30

Submission history

From: Alexey V. Borisov [view email]
[v1] Fri, 28 Feb 2003 05:37:45 UTC (95 KB)
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