This is a review addressing soliton-like states in systems with nonlocal nonlinearity. The work on this topic has long history optics and related areas. Some results produced by the (such as solitons supported thermal nonlinearity optical glasses, orientational nonlinearity, which affects light propagation liquid crystals) are well known, have been properly reviewed literature, therefore respec...

The progress in two-dimensional materials has led to rapid experimental developments quantum plasmonics, where light is manipulated using plasmons. Although numerical methods can be used quantitatively describe plasmons spatially inhomogeneous systems, they are limited relatively small setups. Here, we present a novel semi-analytical method media within the framework of Random Phase Approximati...

In this paper, we study a simple one-dimensional model of reactiondiffusion with bistable non-linearity and in heterogeneous media. The bistable term accounts for the so-called Allee effect, and the heterogeneity in the media is localized. We recall the definition of a transition wave used in similar situations by well-known authors, and propose an alternative definition for discussion. We call...