An L-A pair for the Apel'rot system and a new integrable case for the Euler-Poisson equations on so(4)xso(4)

Vladimir Dragovic, Borislav Gajic

We present an L-A pair for the Apel'rot case of a heavy rigid 3-dimensional body. Using it we give an algebro-geometric integration procedure. Generalizing this L-A pair, we obtain…