Discrete ginzburg-landau solitons

Abstract

In this chapter, we present a review of recent results concerning dissipative lattices of the Ginzburg-Landau type. Firstly, we study effects such as complex discrete diffraction, as well as Bloch oscillations, arising from the linear properties of such systems. Subsequently, using a generic cubic-quintic nonlinearity, we identify self-localized dissipative discrete soliton solutions, and study their characteristics.