Painlev´e test for a magnetohydrodynamics system

  1. Institute of Cosmophysical Researches and RadioWave Propagation Far-Eastern Branch, Russian Academy of Sciences
  2. Vitus Bering Kamchatka State University

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.

Vodinchar G.M., D.S. Noshchenko, A.S. Perezhogin. Painlev´e test for a magnetohydrodynamics system // BULLETIN KRASEC. PHYSICAL AND MATHEMATICAL SCIENCES. T. 11, № 2. 2015. С. 57-62