The Ühling-Uhlenbeck equations and the discrete velocity model are used to study the propagation of plane waves in a dilute system of Bose particles with hard-sphere interactions. The Ühling-Uhlenbeck collision sum, as it is highly nonlinear, is first linearized and then decomposed by using the plane wave assumption. We address the dispersion relations thus obtained by the relevant parameter θ or B which describes the Bose particles for the quantum analogue of the discrete Boltzmann system when B is positive (and θ = 1). The attenuation of plane waves propagating in dilute Bose gases in the low density or temperature regime shows a rather sharp change which is completely different from that in dilute Boltzmann gases.