We determine the region in which the magnon-mediated spin torques exist.This region can be controlled by the spin waves.In terms of stability analysis of magnetization dynamics based on the spin-wave background,we obtain the instability conditions of spin waves.With these results,we find the relationship between unstable regions and the formation of Akhmediev breather,Kuznetsov-Ma breather and rogue waves.We establish the phase diagram of some novel magnetic excitaions.