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 …

Nonlinear systems can exhibit a rich set of dynamics that are inherently sensitive to their
initial conditions. One such example is modulational instability, which is believed to be one …

The aim of this introductory article is two-fold. First, we aim to offer a general introduction to
the theme of Bose-Einstein condensates, and briefly discuss the evolution of a number of …

The aim of this review is to introduce the reader to some of the physical notions and the
mathematical methods that are relevant to the study of nonlinear waves in Bose–Einstein …

We use a Feshbach resonance to tune the scattering length a of a Bose-Einstein
condensate of Li 7 in the| F= 1, m F= 1⟩ state. Using the spatial extent of the trapped …

The catalytic stereoselective synthesis of compounds with chiral phosphorus centers
remains an unsolved problem. State-of-the-art methods rely on resolution or stoichiometric …

We demonstrate, through numerical simulations, the controllable emission of matter-wave
bursts from a Bose-Einstein condensate in a shallow optical dipole trap. The process is …

We elaborate a model of the interferometer which, unlike previously studied ones, uses a
local (δ-functional) nonlinear repulsive potential, embedded into a harmonic-oscillator …

Matter-wave bright solitons are predicted to reflect from a purely attractive potential well
although they are macroscopic objects with classical particle-like properties. The non …

We show that bright solitons exist in quasi-one-dimensional heteronuclear multicomponent
Bose-Einstein condensates with repulsive self-interaction and attractive interspecies …