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 …

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 …

Solitons, nonlinear self-trapped wavepackets, have been extensively studied in many and
diverse branches of physics such as optics, plasmas, condensed matter physics, fluid …

We review both theoretical and experimental advances in the recently emerged field of
modulated photonic lattices. These artificial periodic dielectric structures provide a powerful …

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 …

Edge states emerge in diverse areas of science, offering promising opportunities for the
development of future electronic or optoelectronic devices, sound and light propagation …

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 …

We address the existence and stability of vortex-soliton (VS) solutions of the fractional
nonlinear Schrödinger equation (NLSE) with competing cubic-quintic nonlinearities and the …

We address the formation of topological states in twisted circular waveguide arrays and find
that twisting leads to important differences of the fundamental properties of new vortex …

We theoretically introduce a type of topological dipole soliton propagating in a Floquet
topological insulator based on a kagome array of helical waveguides. Such solitons …