We present a detailed overview of the physics and applications of optical dark solitons:
localized nonlinear waves (orholes') existing on a stable continuous wave (or extended finite …

The collapse of self-focusing waves described by the nonlinear Schrödinger (NLS) equation
and the Zakharov equations in nonlinear optics and plasma turbulence is reviewed. Special …

The current research into solitons and their use in fiber optic communications is very
important to the future of communications. Since the advent of computer networking and …

We have created spatial dark solitons in two-component Bose-Einstein condensates in
which the soliton exists in one of the condensate components and the soliton nodal plane is …

We give an overview of the basic physical concepts and analytical methods for investigating
the symmetry-breaking instabilities of solitary waves. We discuss self-focusing of spatial …

Optical vortices in linear and nonlinear media may exhibit propagation dynamics similar to
hydrodynamic vortex phenomena. Analytical and numerical methods are used to describe …

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

Pattern formation and competition occur in a nonlinear extended medium if dissipation
allows for attracting sets, independently of initial and boundary conditions. This intrinsic …

We have found a new class of exact solutions for multicomponent partially coherent solitons
in photorefractive media with a drift mechanism of nonlinear response. Their novel feature is …

All stationary solutions to the one-dimensional nonlinear Schrödinger equation under box or
periodic boundary conditions are presented in analytic form for the case of attractive …