<p>Consideration has been given to a model of a one-velocity multicomponent heterogeneous mixture, whose differential equations are derived from the Nigmatulin multivelocity nonhyperbolic nonconservative model with interfractional-interaction forces introduced additionally and ensuring equal accelerations for differentdensity components of the mixture. The characteristic analysis has been made of the equations of an equilibrium model and their hyperbolicity has been shown. In integrating the model′s equations, use was made of the multidimensional nodal method of characteristics which is based on the splitting, along coordinate directions, of the initial system of equations into a number of one-dimensional subsystems, each being solved using the inverse method of characteristics. With this approach, the author has calculated the problem of interaction of a shock wave propagating in unperturbed air and a layer of sulfur-fluoride gas located along the solid wall. The shockwave interaction pattern has been described in detail.</p>