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 While the Ablowitz-Ladik lattice is integrable, the Discrete Nonlinear Schrödinger
equation, which is more significant for physical applications, is not. We prove closeness of …

The artificial synchronization of three uncoupled Ablowitz− Ladik systems associated with
the sixth-order auxiliary linear problem is investigated theoretically and elucidated …

The study of nonlinear Schrödinger-type equations with nonzero boundary conditions
introduces challenging problems both for the continuous (partial differential equation) and …

We prove spatiotemporal algebraically decaying estimates for the density of the solutions of
the linearly damped nonlinear Schrödinger equation with localized driving, when …

Abstract We consider the Lefever–Lejeune nonlinear lattice, a spatially discrete propagation-
inhibition model describing the growth of vegetation densities in dry-lands. We analytically …