Geodesic
On the absence of an additional meromorphic first integral in the Riemann problem on the motion of a liquid ellipsoid
Russian journal of nonlinear dynamics, Tome 6 (2010) no. 3, pp. 567-572.

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We prove the absence of an additional meromorphic first integral in the Riemann problem on the motion of a homogeneous liquid ellipsoid with zero angular and vortex momenta in the case of zero self-gravitation.
Keywords: Riemann problem, liquid ellipsoid, meromorphic first integral. 
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S. L. Ziglin. On the absence of an additional meromorphic first integral in the Riemann problem on the motion of a liquid ellipsoid. Russian journal of nonlinear dynamics, Tome 6 (2010) no. 3, pp. 567-572. http://geodesic.mathdoc.fr/item/ND_2010_6_3_a6/

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