Schumpeterian dynamics as a non-linear wave theory

We study the evolution of efficiency distribution in an industry with many firms involved in the processes of innovation and imitation. The evolution is described by an infinite system of non-linear difference-differential equations. If the total velocity of the processes is less for more advanced firms, then the form of the efficiency distribution and the speed of its movement stabilize with time and do not depend on the initial conditions. It is similar to phenomena of the non-linear wave theory. We consider properties of limit waves and generalize the result for the case when efficiency levels are defined by several indicators.