Orbital angular momentum (OAM) of light is an important feature of structured
electromagnetic fields exhibiting non-uniform spatial distribution. In contrast to a spin …

We report solutions for stable compound solitons in a three-dimensional quasi-phase-
matched photonic crystal with the quadratic (χ (2)) nonlinearity. The photonic crystal is …

The multicore fiber (MCF) is a physical system of high practical importance. In addition to
standard exploitation, MCFs may support discrete vortices that carry orbital angular …

An overview is given of basic models combining discreteness in their linear parts (ie, the
models are built as dynamical lattices) and nonlinearity acting at sites of the lattices or …

Abstract The discrete complex Ginzburg–Landau equation is a fundamental model for the
dynamics of nonlinear lattices incorporating competitive dissipation and energy gain effects …

Abstract Discrete Ginzburg–Landau (DGL) equations with non-local nonlinearities have
been established as significant inherently discrete models in numerous physical contexts …

We introduce a discrete linear lossy system with an embedded “hot spot”(HS), ie, a site
carrying linear gain and complex cubic nonlinearity. The system can be used to model an …

We consider the kick-(tilt-) induced mobility of two-dimensional (2D) fundamental dissipative
solitons in models of bulk lasing media based on the 2D complex Ginzburg-Landau …

We analyze pattern-formation scenarios in the two-dimensional (2D) complex Ginzburg–
Landau (CGL) equation with the cubic–quintic (CQ) nonlinearity and a cellular potential. The …

We introduce a system with one or two amplified nonlinear sites ('hot spots', HSs) embedded
into a two-dimensional linear lossy lattice. The system describes an array of evanescently …