Painlev´e test for a magnetohydrodynamics system

  1. Institute of Cosmophysical Research and Wave-Propagation, Far East Branch, Russian Academy of Sciences

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