Abstract 2D and 3D solitons and related states, such as quantum droplets, can appear in
optical systems, atomic Bose–Einstein condensates (BECs) and liquid crystals, among other …

A brief review is given of some well-known and some very recent results obtained in studies
of two-and three-dimensional (2D and 3D) solitons. Both zero-vorticity (fundamental) …

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 …

We report on the study of binary collisions between quantum droplets formed by an attractive
mixture of ultracold atoms. We distinguish two main outcomes of the collision, ie, merging …

The structure and dynamics of one-dimensional binary Bose gases forming quantum
droplets is studied by solving the corresponding amended Gross-Pitaevskii equation. Two …

Breathing solitons are nonlinear waves in which the energy concentrates in a localized and
oscillatory fashion. Similarly to stationary solitons, breathers in dissipative systems can form …

The purpose of this study is to find some novel soliton solutions of Fokas–Lenells (FL)
equation where the perturbation terms are taken into account with nonlinearity. The sine …

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