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. 
@article{ND_2010_6_3_a6,
     author = {S. L. Ziglin},
     title = {On the absence of an additional meromorphic first integral in the {Riemann} problem on the motion of a liquid ellipsoid},
     journal = {Russian journal of nonlinear dynamics},
     pages = {567--572},
     publisher = {mathdoc},
     volume = {6},
     number = {3},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ND_2010_6_3_a6/}
}
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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/