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 …

This review paper presents an overview of the theoretical and experimental progress on the
study of matter-wave dark solitons in atomic Bose–Einstein condensates. Upon introducing …

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 …

Optical vortex-soliton filaments are observed in a bulk self-defocusing Kerr nonlinear
refractive medium. The dark cylindrical core, located at the axis of a 2π helical phase ramp …

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 …

The phenomenon of Bose–Einstein condensation is a phase transition originally predicted
by Bose and Einstein in 1924. In particular, it was shown that below a critical temperature T …

We study the dynamics of a supersonically expanding, ring-shaped Bose-Einstein
condensate both experimentally and theoretically. The expansion redshifts long-wavelength …

The flow of a one-dimensional defocusing nonlinear Schrödinger fluid past an obstacle is
investigated. Below an obstacle-dependent critical velocity, a steady dissipationless motion …

We analyze a transverse instability of plane (quasi-one-dimensional) dark solitons in the
framework of the two-dimensional nonlinear Schrödinger (NLS) equation for beam …

The connection between quantized vortices and dark solitons in a waveguidelike trap
geometry is explored in the framework of the nonlinear Schrödinger equation. Variation of …