6 citations · 14 across the 7 of their papers we have counts for
6 papers
The discrete nonlinear Schrödinger equation with linear gain and nonlinear loss: the infinite lattice with nonzero boundary conditions and its finite dimensional approximations
Georgios Fotopoulos, Nikos I. Karachalios, Vassilis Koukouloyannis +2
The study of nonlinear Schrödinger-type equations with nonzero boundary conditions define challenging problems both for the continuous (partial differential equation) or the discre…
The linearly damped nonlinear Schrödinger equation with localized driving: spatiotemporal decay estimates and the emergence of extreme wave events
G. Fotopoulos, N. I. Karachalios, V. Koukouloyannis +1
We prove spatiotemporal algebraically decaying estimates for the density of the solutions of the linearly damped nonlinear Schrödinger equation with localized driving, when supplem…
Extreme wave events for a nonlinear Schrödinger equation with linear damping and Gaussian driving
G. Fotopoulos, D. J. Frantzeskakis, N. I. Karachalios +3
We perform a numerical study of the initial-boundary value problem, with vanishing boundary conditions, of a driven nonlinear Schrödinger equation (NLS) with linear damping and a G…
Collapse dynamics for the discrete nonlinear Schrödinger equation with gain and loss
G. Fotopoulos, N. I. Karachalios, V. Koukouloyannis +1
We discuss the finite-time collapse, also referred as blow-up, of the solutions of a discrete nonlinear Schrödinger (DNLS) equation incorporating linear and nonlinear gain and loss…
Spatiotemporal algebraically localized waveforms for a nonlinear Schrödinger model with gain and loss
Z. A. Anastassi, G. Fotopoulos, D. J. Frantzeskakis +5
We consider the asymptotic behavior of the solutions of a nonlinear Schrödinger (NLS) model incorporating linear and nonlinear gain/loss. First, we describe analytically the dynami…
Inverse fixed energy scattering problem for the two-dimensional nonlinear Schroedinger operator
Georgios Fotopoulos, Valery Serov
This work studies the direct and inverse fixed energy scattering problem for two-dimensional Schroedinger equation with rather general nonlinear index of refraction. In particular,…