We present a novel nonlinear mechanism for exciting a gravitational radiation pulse (or a gravitational wave) by dust magnetohydrodynamic (DMHD) waves in dusty astrophysical plasmas. We derive the relevant equations governing the dynamics of nonlinearly coupled DMHD waves and a gravitational wave (GW). The system of equations is used to investigate the generation of a GW by compressional Alfvén waves in a type II supernova. The growth rate of our nonlinear process is estimated, and the results are discussed in the context of the gravitational radiation accompanying supernova explosions.PACS numbers: 04.30. Db, 97.60.Bw, 98.62.En It is well known that there exist numerous mechanisms for the conversion between gravitational waves (GWs) and electromagnetic waves [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19]. For example, the propagation of GWs across an external magnetic field gives rise to a linear coupling to the electromagnetic field [1] , which may lead to the gravitational wave excitation of ordinary electromagnetic waves in vacuum, or of magnetohydrodynamic (MHD) waves in a plasma [2,3,4]. Furthermore, various nonlinear coupling mechanisms give rise to threewave couplings between GWs and electromagnetic waves in matters. We also note that four-wave processes may cause graviton-photon conversion even in the absence of external matters or fields [5]. Moreover, GWs can couple to other types of waves, e.g. sound waves, also in neutral media [6]. There are numerous motives for considering wave couplings involving GWs. In some cases, the emphasis is on the basic theory [5,6,7,8,9,10]. In other works, the focus is on GW detectors [11,12,13], on cosmology [14,15,16], or on astrophysical applications such as binary mergers [17], gamma ray bursts [18] or pulsars [19]. Many of the previous works have concentrated on the conversion from GWs to electromagnetic waves, which can be analysed within a test matter approach which neglects the back reaction on the gravitational field. We note that such an approach can be justified if the background energy density is low.In this Letter, we consider the three-wave coupling between two DMHD waves and a GW, including the effects of dust particles [20] in a dense medium such as the supernova where electrons, protons, and charged dust macroparticles are abundant. For this purpose, we derive the dust Hall MHD equations [20], i.e. equations describing the dust MHD waves, including the effect of a GW. We emphasize that for a low-beta plasma, the system of equations has a structure which can describe both a dust-dominated plasma, as well as an ordinary Hall-MHD plasma (if we replace the dust mass density by the ion mass density). Using the normal mode approach [21], the three-wave coupling equations are derived, including the back reaction on a GW from the Einstein equations. The system is shown to fulfil the Manley-Rowe relations [21] (which means that the interaction process can be viewed quantum mechanically) and to be energy conserving. The three-wave equations are then used to...