Granular materials are ubiquitous in our daily lives. While they have been the subject of
intensive engineering research for centuries, in the last two decades granular matter has …

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

We present an experimental observation of an oscillating Kerr cavity soliton, ie, a time-
periodic oscillating one-dimensional temporally localized structure excited in a driven …

The Swift-Hohenberg equation with quadratic and cubic nonlinearities exhibits a remarkable
wealth of stable spatially localized states. The presence of these states is related to a …

The bistable Swift-Hohenberg equation exhibits multiple stable and unstable spatially
localized states of arbitrary length in the vicinity of the Maxwell point between spatially …

Spatial localization is a common feature of physical systems, occurring in both conservative
and dissipative systems. This article reviews the theoretical foundations of our …

The Swift–Hohenberg equation with cubic and quintic nonlinearities exhibits multiple stable
and unstable spatially localized states of arbitrary length in the vicinity of the Maxwell point …

Stationary spatially localized structures, sometimes called dissipative solitons, arise in many
interesting and important applications, including buckling of slender structures under …

We report an observation of a stable solitonlike structure on the surface of a ferrofluid,
generated by a local perturbation in the hysteretic regime of the Rosensweig instability …

Properties of dust ion-acoustic (DIA) shocks and DIA holes are examined, assuming that a
dusty plasma contains immobile charged dust grains, warm electrons, and warm ions. A …