Magnetostatic surface waves on a steadily moving domain boundary of a ferro
garnet crystal are considered in the exchangeless magnetostatic approximati
on. It is shown that the structure and spectrum of a magnetostatic surface
wave can be significantly modified under the effect of motion of the bounda
ry concentrating the field. It is also found that the parametric transforma
tion of the magnetostatic surface wave due to the motion of the domain boun
dary is greater when the angle between the magnetization axis and the wave
vector decreases.