Geodesic
Painlev\'e test of a magnetohydrodynamics system
Vestnik KRAUNC. Fiziko-matematičeskie nauki, no. 2 (2015), pp. 61-66

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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 Painlevé test. Values of the coefficients in a simplified magnetohydrodynamics system are calculated for the necessary condition of Painlevé property.
Keywords: Painlevé test, Kovalevski-Gambier method. 
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     title = {Painlev\'e test of a magnetohydrodynamics system},
     journal = {Vestnik KRAUNC. Fiziko-matemati\v{c}eskie nauki},
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     year = {2015},
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     url = {http://geodesic.mathdoc.fr/item/VKAM_2015_2_a8/}
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G. M. Vodinchar; D. S. Noshenko; A. S. Perezhogin. Painlev\'e test of a magnetohydrodynamics system. Vestnik KRAUNC. Fiziko-matematičeskie nauki, no. 2 (2015), pp. 61-66. http://geodesic.mathdoc.fr/item/VKAM_2015_2_a8/