On the Cases of Kirchhoff and Chaplygin of the Kirchhoff Equations

Details On the Cases of Kirchhoff and Chaplygin of the Kirchhoff Equations On the Cases of Kirchhoff and Chaplygin of the Kirchhoff Equations

2011-10-03

arxiv.org/abs/1110.0427v3

Physics

Mathematical Physics

Scientific paper

It is proven that the general Kirchhoff case of the Kirchhoff equations for
$B\ne 0$ is not 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.

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