PAINLEV´E TEST OF A MAGNETOHYDRODYNAMICS SYSTEM

Abstract

One approximation of magnetohydrodynamics equations, which describe the cosmic object’s magnetic field, is considered. The analytic properties of a nonlinear system are investigated by Painlev´e test. Values of the coefficients in a simplified magnetohydrodynamics system are calculated for the necessary condition of Painlev´e property.

Keywords

• Painleve test
• Kovalevski-Gambier method