Geodesic
Motion of two spheres in ideal fluid. I.~Equations of motions in the Euclidean space. First integrals and reduction
Russian journal of nonlinear dynamics, Tome 3 (2007) no. 4, pp. 411-422.

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The paper deals with the derivation of the equations of motion for two spheres in an unbounded volume of ideal and incompressible fluid in 3D Euclidean space. Reduction of order, based on the use of new variables that form a Lie algebra, is offered. A trivial case of integrability is indicated.
Keywords: motion of two spheres, ideal fluid, reduction, integrability. 
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     title = {Motion of two spheres in ideal fluid. {I.~Equations} of motions in the {Euclidean} space. {First} integrals and reduction},
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     pages = {411--422},
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A. V. Borisov; I. S. Mamaev; S. M. Ramodanov. Motion of two spheres in ideal fluid. I.~Equations of motions in the Euclidean space. First integrals and reduction. Russian journal of nonlinear dynamics, Tome 3 (2007) no. 4, pp. 411-422. http://geodesic.mathdoc.fr/item/ND_2007_3_4_a3/