Geodesic
On solutions of the kinetic McKean system
Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 3 (2020), pp. 3-11

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In this article, we apply the Painlevé expansion for the kinetic McKean system. This system does not pass the Painlevé test. It leads to the singularity manifold constraint. The singularity manifold conditions are satisfied by the n-dimensional Bateman equation. This allows to get some new solutions. 
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     author = {Sergey Dukhnovsky},
     title = {On solutions of the kinetic {McKean} system},
     journal = {Buletinul Academiei de \c{S}tiin\c{t}e a Republicii Moldova. Matematica},
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     year = {2020},
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Sergey Dukhnovsky. On solutions of the kinetic McKean system. Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 3 (2020), pp. 3-11. http://geodesic.mathdoc.fr/item/BASM_2020_3_a0/