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

A new class of stationary solutions in the theory of glow discharges and plasma–cathode
interaction in ambient-gas arc discharges has been found over the past 15 years. These …

We discuss a variety of experimental and theoretical studies of localized stationary spots,
oscillons, and localized oscillatory clusters, moving and breathing spots, and localized …

We study the properties of 2D cavity solitons in a coherently driven optical resonator
subjected to a delayed feedback. The delay is found to induce a spontaneous motion of a …

We demonstrate that several nonvariational continuum models commonly used to describe
active matter as well as other active systems exhibit nongeneric behavior: each model …

The conserved Swift-Hohenberg equation (or phase-field-crystal [PFC] model) provides a
simple microscopic description of the thermodynamic transition between fluid and crystalline …

The active phase-field-crystal (active PFC) model provides a simple microscopic mean field
description of crystallization in active systems. It combines the PFC model (or conserved …

Stability domains (ie, pump frequency detuning range) of a single dark soliton (or platicon)
and dark breather in high-Q Kerr optical microresonators with normal group velocity …

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 consider a rate equation model describing broad area vertical-cavity surface-emitting
lasers subject to injection and to time-delayed optical feedback. We show that the inclusion …