Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2020, Number 3, Pages 3–11 (Mi basm538)  
This article is cited in 2 scientific papers (total in 2 papers)

On solutions of the kinetic McKean system

Sergey Dukhnovsky

Moscow State University Of Civil Engineering (National Research University), 26, Yaroslavskoe shosse, Moscow, 129337, Russian Federation
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Abstract: 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.
Keywords and phrases: Painlevé test, McKean system, Bateman equation, PDE.
Received: 06.03.2020
Document Type: Article
MSC: 35A24, 35Q20, 35C99
Language: English
Citation: Sergey Dukhnovsky, “On solutions of the kinetic McKean system”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2020, no. 3, 3–11
Citation in format AMSBIB
\Bibitem{Duk20}
\by Sergey~Dukhnovsky
\paper On solutions of the kinetic McKean system
\jour Bul. Acad. \c Stiin\c te Repub. Mold. Mat.
\yr 2020
\issue 3
\pages 3--11
\mathnet{http://mi.mathnet.ru/basm538}
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  • https://www.mathnet.ru/eng/basm/y2020/i3/p3
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
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