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 …

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 …

A method for the creation of three-dimensional (3D) solitary topological modes,
corresponding to vortical droplets of a two-component dilute superfluid, is presented. We …

Electric field-induced collective reorientation of nematic molecules is of importance for
fundamental science and practical applications. This reorientation is either homogeneous …

Topological defects and defect phases of rigid and flexibly bent-shaped liquid crystals are
reviewed with emphasis on how they are affected by the departure of molecular shapes from …

Dynamics of small particles, both living and inanimate, has fascinated scientists for
centuries. Learning how to control it could open technological opportunities in the …

Realizing single light bullets and vortices that are stable in high dimensions is a long-
standing goal in the study of nonlinear optical physics. The storage and retrieval of such …

Accurately characterizing the field of broadband optical pulses is required for developing
new optical sources, performing successful experiments, and interpreting experimental …

Bound states of solitons, alias soliton molecules (SMs), are well known in 1D systems, while
making stable bound states of multidimensional solitons is a challenging problem because …

A scheme is proposed to generate stable light bullets (LBs) in a cold Rydberg atomic system
with a parity-time (PT) symmetric potential, by utilizing electromagnetically induced …