A suitable code has been developed. As a bonus this code allows us to investigate kink waves which oscillate in any plane relative to the lines of sight. Zhugzhda worked out the corresponding dispersion relation and estimated the phase velocity for some limiting cases. Our numerical solution allows us to investigate the dispersion in all parameters which could not be estimated analytically. This dispersion relation can be used to check, among other things, the validity of the thin tube approximation in zeroth and first order in the radial expansion.
First results suggest that the difference can be crucial.
For example, a new wave mode appears and the phase speeds of other modes are changed. So far the dispersion relation has been investigated only for the case of a uniform atmosphere. It is planned to include the effects of gravitation, which greatly complicate the equations to be solved.