Direct numerical simulation (DNS) has been utilized to solve numerically a two-dimensional compressible weak-shearing plane jet, in which the jet exit velocity and the co-flow velocity are in the same magnitude (2∶1 in this paper). We also use the one-way coupling method to simulate the dispersion behaviors of solid particles in various representative sizes, i.e. St=0.01, 1, 10, 100, where St is the Stokes number. We get a vorticity field with fully varicose (symmetrical) modes and the entire precise processes of the rolling-up of one spanwise vortex, the pairing of two vortexes and the mixing of three vortexes. The mean longitudinal velocity (U) profile compares well against the experimental results. The Reynolds stress profile looks special due to the symmetrical vorticity field. The particles whose St=0.01 reproduce the vortex structures in detail, and the ones of St=1 exhibit interesting self-organized behaviors and possess the most non-uniform concentration field. They disperse uniformly around the single and pairing vortex kernels, while a few of them are arranged almost in a straight line in the center region of the paring vortexes, which is caused by the contribution of the border of two vortexes in the pairing process. St=10 and 100 can be treated as large particles, on which the flow field has few impacts.