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 …
BP Anderson, PC Haljan, CA Regal, DL Feder… - Physical Review Letters, 2001 - APS
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 …
D Rozas, CT Law, GA Swartzlander Jr - Journal of the Optical Society …, 1997 - opg.optica.org
Optical vortices in linear and nonlinear media may exhibit propagation dynamics similar to hydrodynamic vortex phenomena. Analytical and numerical methods are used to describe …
HG Purwins, HU Bödeker, S Amiranashvili - Advances in Physics, 2010 - Taylor & Francis
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 …
N Akhmediev, A Ankiewicz - Physical review letters, 1999 - APS
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 …