There is a class of tasks that requires considering the dynamics not only for rolling stock but also for the response of the railway track. One of the directions of railway transport development, which encourages the transition to fundamentally newdynamic models of the railway track, is undoubtedly an increase in traffic speed. To solve such problems, the authors applied amodel of the stressed-strained state of a railway track based on the dynamic problem of elasticity theory. The feature of this modelis the calculation of dynamic stresses and deformations induced by the spread of elastic waves through the objects of the railwaytrack. Based on the mathematical modeling of stress propagation in the under-rail basis, authors have shown the influence ofvarious objects of a railway track on the formation of the outline of the front of the elastic wave and determined the main timeintervals. Furthermore, the authors propose the following analytical method, which, in addition to the soil's physical andmechanical properties, considers the properties of the ballast as a layer that transmits pressure to the roadbed and takes an activepart in the formation of the interaction space