Non-reflective Propagation of Kink Pulses in Magnetic Waveguides in the Solar Atmosphere

We study the propagation of pulses of kink waves in magnetic-flux tubes. We use the thin-tube approximation and assume that the dependence of the phase speed on the distance along the tube is either linear or quadratic. In this case, the wave equation describing the propagation of kink waves reduces to the Klein–Gordon equation with constant coefficients. We present the general solution of the initial value–boundary value problem for this equation. Using this solution, we study the general properties of non-reflective pulse propagation. Then we apply the general results to the kink-pulse propagation in coronal magnetic loops. In particular, we suggest an alternative mechanism of small-amplitude decay-less kink oscillations in coronal loops.