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JOURNALS // Vestnik KRAUNC. Fiziko-Matematicheskie Nauki // Archive

Vestnik KRAUNC. Fiz.-Mat. Nauki, 2016 Number 3(14), Pages 29–33 (Mi vkam141)

MATHEMATICAL MODELING

About Painleve property of a hydrodynamic system

G. M. Vodincharab, D. S. Noshñhenkoba, A. S. Perezhoginab

a Institute of Cosmophysical Researches and Radio Wave Propagation, Far East Division, Russian Academy of Sciences
b Kamchatka State University named after Vitus Bering

Abstract: We represent conditions of hydrodynamic system when it passes the Painleve test. We use Kovaleskaya-Gambie method for fourth order ordinary differential system. We obtain Lorenz-like dynamic, hydrodynamic system.

Keywords: Painleve test, Lorenz-like dynamic, hydrodynamic system.

UDC: 517.956

MSC: Primary 76W05; Secondary 86A25

Received: 11.08.2016

Language: English

DOI: 10.18454/2079-6641-2016-14-3-29-33



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