Bulletin KRASEC. Phys. & Math. Sci. 2017. vol. 16, issue. 1. pp. 69-73. ISSN 2313-0156

DOI: 10.18454/2313-0156-2017-16-1-69-73

MSC 76W05, 86A25

ABOUT PAINLEVE PROPERTY OF A HYDRODYNAMIC SYSTEM

G. M. Vodinchar¹², D. S. Noshchenko¹², A. S. Perezhogin¹²

¹Institute of Cosmophysical Researches and Radio Wave Propagation FEB RAS, 684034, Kamchatsky Kray, Paratunka, Mirnaya st., 7, Russia
²Vitus Bering Kamchatka State University, 683031, Petropavlovsk-Kamchatsky, Pogranichnaya st., 4, Russia
E-mail: d72156@gmail.com

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.

Key words: Painleve test, Lorenz-like dynamic, hydrodynamic system.

 

References

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For citation: Vodinchar G. M., Noshchenko D. S., Perezhogin A. S. About Painleve property of a hydrodynamic system. Bulletin KRASEC. Physical and Mathematical Sciences 2017, vol. 16, issue 1, 69-73. DOI: 10.18454/2313-0156-2017-16-1-69-73.

Original article submitted: 11.08.2016

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  Vodinchar Gleb Mikhailovich – Ph.D. (Phys. Math.), Head of Lab. Modeling of physical processes, Institute of Cosmophysical Researches and Radio Wave Propagation FEB RAS, Associate Professor, Dept. Mathematics & Physics, Vitus Bering Kamchatka State University.

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     Noshenko Dmitriy Sergeevich — Junior Researcher of Lab. Modeling of Physical Processes, Institute of Cosmophysical Researches and Radio Wave Propagation FEB RAS, graduate student, Vitus Bering Kamchatka State University.

  

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     Perezhogin Andrey Sergeevich – Ph.D. (Phys. &Math.),Leading Research Scientist of Lab. Modeling of physical processes, Institute of Cosmophysical Researches and Radio Wave Propagation FEB RAS., Head of Dept. of Mathematics and Physics, Vitus Bering Kamchatka State University.

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