Spatially inhomogeneous time-periodic propagating waves in anharmonic systems

Abstract

Strongly anharmonic and translationally invariant systems in arbitrary dimensions, exhibit a class of time periodic and stable solutions carrying an energy flow as well as the standard plane waves which are special cases. In general, the spatial distribution of these energy flows is very inhomogeneous and form arbitrarily complex networks of channels and vortices. These solutions are constructed from arbitrary, finite, or infinite clusters of breathers (multibreathers) with twisted phases. Examples of these solutions are numerically calculated in several one and two-dimensional nonlinear models.