The article produces a brief review of some recent results which predict stable propagation
of solitons and solitary vortices in models based on the nonlinear Schrödinger equation …

A comprehensive review of spatiotemporal pattern formation in systems driven away from
equilibrium is presented, with emphasis on comparisons between theory and quantitative …

From protein motifs to black holes, topological solitons are pervasive nonlinear excitations
that are robust and can be driven by external fields. So far, existing driving mechanisms all …

Talbot effect, characterized by the replication of a periodic optical field in a specific plane, is
governed by diffraction and dispersion in the spatial and temporal domains, respectively. In …

The fractional Schrödinger equation (FSE)—a natural extension of the standard Schrödinger
equation—is the basis of fractional quantum mechanics. It can be obtained by replacing the …

Bound states of solitons (“molecules”) occur in various settings, playing an important role in
the operation of fiber lasers, optical emulation, encoding, and communications. Soliton …

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

The current research into solitons and their use in fiber optic communications is very
important to the future of communications. Since the advent of computer networking and …

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 …

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 …