Bulletin KRASEC. Phys. & Math. Sci, 2015, V. 11, №. 2, pp. 57-62. ISSN 2313-0156

Back to contents

DOI: 10.18454/2313-0156-2015-11-2-57-62

MSC 34A34

PAINLEV´E TEST FOR A MAGNETOHYDRODYNAMICS SYSTEM

G.M. Vodinchar, D.S. Noshchenko, A.S. Perezhogin

Institute of Cosmophysical Research and Radio Wave Propagation FEB RAS.

E-mail: d72156@gmail.com

One of small size approximations of a magnetohydrodynamics equation, which describes cosmic object magnetic fields, is considered. The analytic properties of a nonlinear system are investigated by the Painlev´e test. For a simplified magnetohydrodynamics system, we calculated the coefficients when the necessary condition of Painlev´e property holds.

Key words: Painleve test, Kovalevski-Gambier method.

References

  1. Zel’dovich Ya.B., Ruzmaikin A.A., Sokolov D.D. Magnitnye polya v astrofizike [Magnetic fields in Astrophysics]. Moscow, Izhevsk, RKhD, 2006. 384 p.
    2. Frik P.G. Turbulentnost’: podkhody i modeli [Turbulence: approaches and models]. Moscow, Izhevsk, RKhD, 2010. 332 p.
    3. Gledzer E.B., Dolzhanskii F.V., Obukhov A.M. Sistemy gidrodinamicheskogo tipa i ikh primenenie [Hydrodynamic systems and their applications]. Moscow, Nauka, 2010, 368 p.
    4. Kont R.M., Myuzett M. Metod Penleve i ego prilozheniya [Painlev´e method and its applications. Moscow, Izhevsk, NITs, 2011. 340 p.

For citation: Vodinchar G.M., Noshchenko D.S., Perezhogin A.S. Painlev´e test for a magnetohydrodynamics system. Bulletin KRASEC. Physical and Mathematical Sciences 2015, vol. 11, issue 2, 57-62. DOI: 10.18454/2313-0156-2015-11-2-57-62.

Original article submitted: 18.11.2015

Vod

 

   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.

 

1

Nosh
     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.

1

1

Per
   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.

Download article Vodinchar G.M. et al