The theory of generation of ground surface acoustic waves by trains is developed using the Green's function formalism. Mechanical properties of the rail track and parameters of train and soil (including contact nonlinearity of track-soil system) are taken into account. It's shown that generated ground vibration spectra depend strongly on the geometrical parameters of track and train, on the mechanical properties of soil, and on the axle loads of the carriages. Simple practical methods are suggested to modify, the spectra of railway-generated surface elastic waves and to reduce their level at chosen frequency bands
