A model is created for the simulation of generation and propagation to large horizontal distances of the atmosphere waves generated by supersonic rocket flight. For this purpose, the system of two-dimensional nonlinear equations of the geophysical fluid dynamics was solved by the numerical method. It was found that a rocket flight excites a wide spectrum of waves in the atmosphere: from high-frequency acoustic waves to low-frequency internal gravity waves propagating to thousands kilometers without considerable attenuation. We simulated the ionospheric disturbances generated by propagation of these waves, taking into account the geomagnetic field influence. The analysis of our results and their comparison to the experimental data show that our model makes it possible to predict more correctly and in detail the properties of the atmospheric and ionospheric disturbances generated by rocket launchings.