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IMI/Publicaţii/BASM/Ediţii/BASM n.3(94), 2020/

On solutions of the kinetic McKean system

Authors: Sergey Dukhnovsky

Abstract

In this article, we apply the Painlev\'e expansion for the kinetic McKean system. This system does not pass the Painlev\'e 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.

Moscow State University Of Civil Engineering (National
Research University), 26, Yaroslavskoe shosse, Moscow,
129337, Russian Federation
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