The present review summarizes experimental and theoretical work dealing with self-
organized solitary localized structures (LSs) that are observed in spatially extended …

Temporal cavity solitons are packets of light persisting in a continuously driven nonlinear
resonator. They are robust attracting states, readily excited through a phase-insensitive and …

We report what we believe is the weakest interaction between solitons ever observed. Our
experiment involves temporal optical cavity solitons recirculating in a coherently driven …

The understanding of self-organized patterns in spatially extended nonlinear dissipative
systems is one of the most challenging subjects in modern natural sciences. Such patterns …

We present a model and nonlinear analysis which account for the clustering behaviors of
arid vegetation ecosystems, the formation of localized bare soil spots (sometimes also called …

The paper discusses current filamentation and formation of current structures (in particular,
hexagonal current patterns) in discharges of the Townsend and glow types. The aim of the …

We report studies of controlled interactions of localised dissipative structures in a system
described by the AC-driven damped nonlinear Schrödinger equation (equivalent to the …

A major goal of natural science is to understand the formation of spatiallyextended patterns
in all kinds of physical, chemical, biological and other systems. In many cases, it is …

Transitions between trigger and phase waves are studied using a reaction–diffusion model,
which admits both types of travelling wave activity. It is demonstrated that the transition from …

We report on recent progress in understanding the formation of surface protuberances on a
planar layer of ferrofluid in a magnetic field oriented normally to the surface. This normal …