Feshbach resonances are the essential tool to control the interaction between atoms in
ultracold quantum gases. They have found numerous experimental applications, opening up …

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 …

Striving to achieve the Sustainable Development Goals (SDGs), countries are increasingly
embracing a sustainable financing mechanism via green bond financing. Green bonds have …

Quantum fluctuations can stabilize Bose–Einstein condensates (BEC) against the mean-
field collapse. Stabilization of the condensate has been observed in quantum degenerate …

Attractive Bose-Einstein condensates can host two types of macroscopic self-bound states:
bright solitons and quantum droplets. Here, we investigate the connection between them …

This paper reviews the recent theoretical and experimental advances in the study of ultra-
cold gases made of bosonic particles interacting via the long-range, anisotropic dipole …

A comparative review is given of some well-known and some recent results obtained in
studies of two-and three-dimensional (2D and 3D) solitons, with emphasis on states carrying …

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 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 …

Solitons are localized wave disturbances that propagate without changing shape, a result of
a nonlinear interaction that compensates for wave packet dispersion. Individual solitons may …