On the Cases of Kirchhoff and Chaplygin of the Kirchhoff Equations

Borislav Gajic; Vladimir Dragovic

arxiv: 1110.0427 · v3 · pith:CPCADMO4new · submitted 2011-10-03 · 🧮 math-ph · math.MP· nlin.SI

On the Cases of Kirchhoff and Chaplygin of the Kirchhoff Equations

Vladimir Dragovic , Borislav Gajic This is my paper

classification 🧮 math-ph math.MPnlin.SI

keywords kirchhoffchaplygincasecasesequationsgeneralalgebraicanalogues

0 comments

read the original abstract

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.

This paper has not been read by Pith yet.

On the Cases of Kirchhoff and Chaplygin of the Kirchhoff Equations

discussion (0)