The equation of motion for the bubble domain, in which the position and radius of the bubble are variable, has been formulated and solved under several types of propagating fields. It has been found that the maximum speed of bubble propagation is obtained when the propagating field has the form of a traveling wave. For the traveling wave, four types of bubble motion were derived, that is, (1) collapse of the bubble (2) stretching of the bubble (3) normal propagation with constant speed, and (4) anomalous propagation. In the anomalous propagation the frequency differs from that of the propagating field. Characteristics of the propagating field, the maximum frequency of bubble propagation, and the dynamic properties of bubble domain are discussed.