We review the properties of optical spatial dissipative solitons (SDS). These are stable, self‐
localized optical excitations sitting on a uniform, or quasi‐uniform, background in a …

We review publications on transverse dynamics in cavity nonlinear optics during the years
2000–2003. Topics covered are transverse pattern dynamics, localized structures, scaling of …

Previous realizations of synthetic gauge fields for ultracold atoms do not allow the spatial
profile of the field to evolve freely. We propose a scheme which overcomes this restriction by …

We investigate a two-dimensional Bose-Einstein condensate that is optically driven via a
retro-reflecting mirror, forming a single optical feedback loop. This induces a peculiar type of …

We study the transverse self-structuring of cold atomic clouds with effective atomic
interactions mediated by a coherent driving beam retroreflected by means of a single mirror …

We study the Brusselator reaction-diffusion model under conditions where the Hopf mode is
supercritical and the Turing band is subcritical. Oscillating Turing patterns arise in the …

This article discusses self-organization in cold atoms via light-mediated interactions induced
by feedback from a single retro-reflecting mirror. Diffractive dephasing between the pump …

The trajectories of propagating self-organized, well-localized solitary patterns (dissipative
solitons) in the form of electrical current filaments are experimentally investigated in a planar …

The longwave instabilities are inherent to a variety of systems in fluid dynamics (from
dynamics of atmosphere and ocean to motion in microfluidic devices), geophysics (mantle …

Three-wave interactions form the basis of our understanding of many pattern-forming
systems because they encapsulate the most basic nonlinear interactions. In problems with …