Traveling Waves in Nondispersive Strongly Inhomogeneous Media

Abstract

Methods to obtain solutions describing traveling waves in strongly inhomogeneous media are discussed within a linear wave equation with a variable speed (speed of sound). It is shown that there is a wide range of propagation speed variations that allow for the existence of waves that do not reflect despite the strong inhomogeneity of the medium. In this case, the shape of the wave and its characteristics change with distance. These waves can transfer energy over long distances without loss.