Homogeneous flows of cylindrical symmetric plasma cord in Electromagnetic Hydrodynamics. (EMHD) are obtained. In EMHD it is assumed that electronic mass do not equal to zero. The solutions obtained include wide range of cord’s motions from collapses and periodic oscillations to nonlinear resonances and self-sustained oscillations. The type of cord’s motion, as is shown, is dictated by total current function in cord, which as distinct from MHD may be arbitrary. The electrotechnical equation for simple circuit involving plasma cord is obtained. Some numerical results are presented.

Mathematical modelling in actual problems of science and technics