4 citations · 8 across the 2 of their papers we have counts for
3 papers
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…