On the Cases of Kirchhoff and Chaplygin of the Kirchhoff Equations
Abstract
It is proven that the general Kirchhoff case of the Kirchhoff equations for B 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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