Abstract: The interaction between a body in space and its plasma environment is one of the basic problems in space plasma physics. In this paper, based on the amplitude transport equation of fast varying field and the low frequency disturbance equation of electron density, the evolutions of the density distribution of charged particles and collapse of electric field have been calculated numerically in two dimensions with three field components under the condition of transverse wave. A numerical result of non-steady interaction between moving bodies and plasma in compression region is presented. In numerical simulation, the FTCS method, i.e. time forward difference and space central difference method, has been used. The results of numerical calculation show that the density cavitons and potential solitons are formed due to the modulational instability if the radiation of the antenna as a pump wave source is sufficiently intense. From the distribution of density caviton, the moving body can be traced out by means of observing the structure and intensity of the density caviton although the body may be a stealthy vehicle.