An accurate solution in magnetic shearing dynamics

In this paper an exact solution of magnetic shearing dynamics in the stage of linear development under constant gas density is obtained. Numerical results in the cases of constant and gravity-stratified densities show that their difference is very small when the gas/magnetic pressure ratio β is of the order of 10^?2. Therefore our results are applicable to the actual solar atmosphere. It is shown that the amplitude of velocities grows almost linearly with tine and falls slowly with height, the fall getting slower all the time. This peculiar behaviour makes the magnetic arch rise higher and higher while the feet of the magnetic loops remain nearly fixed. Thus, a closed magnetic arch system may eventually become open.