Abstract The cubic complex Ginzburg-Landau equation is one of the most-studied nonlinear
equations in the physics community. It describes a vast variety of phenomena from nonlinear …

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 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 …

Page 1 Applied Sciences 139 Catherine Sulem Pierre-Louis Sulem The Nonlinear Schrödinger
Equation Self-Focusing and Wave Collapse Springer Page 2 Applied Mathematical Sciences …

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 …

Nonlinear systems with periodic variations of nonlinearity and/or dispersion occur in a
variety of physical problems and engineering applications. The mathematical concept of …

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

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 …

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 …