Since the realization of Bose–Einstein condensates (BECs) trapped in optical potentials,
intensive experimental and theoretical investigations have been carried out for bright and …

This article offers a comprehensive survey of results obtained for solitons and complex
nonlinear wave patterns supported by nonlinear lattices (NLs), which represent a spatially …

We present a survey of some recent theoretical and experimental studies on nonlinear
waves that form and propagate in a broad class of optical and matterwave media. The article …

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 perform a survey of some recent theoretical and experimental studies on
multidimensional (two-and three-dimensional) localized structures in optical and matter …

Quantum adiabatic processes—that keep constant the populations in the instantaneous
eigenbasis of a time-dependent Hamiltonian—are very useful to prepare and manipulate …

Matter waves inside periodic potentials are well known from solid-state physics, where
electrons interacting with a crystal lattice are considered. Atomic Bose-Einstein condensates …

We report on the first realization of a single bosonic Josephson junction, implemented by
two weakly linked Bose-Einstein condensates in a double-well potential. In order to fully …

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 …

We report on the first experimental observation of bright matter wave solitons for Rb 87
atoms with repulsive atom-atom interaction. This counterintuitive situation arises inside a …