Family of self -- similiar solutions of the nonstationary ideal MHD equations
The aim of the paper is to construct the self -- similiar solutions of the non--steady ideal MHD equations. It is assumed that the flow is axisymmetric, the matter has only radial
component in the poloidal plane. 2D nonstationary problem is reduced to the Grad--Shafranof equation solution. As a result it is shown that there are the family of self -- similiar solutions
and they depend on adiabatic exponent.
Mathematical modelling in actual problems of science and technics