4 citations · 4 across the 1 of their papers we have counts for
6 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…
The Lefever-Lejeune nonlinear lattice: convergence dynamics and the structure of equilibrium states
Nikos I. Karachalios, Paris Kyriazopoulos, Konstantinos Vetas
We consider the Lefever-Lejeune nonlinear lattice, a spatially discrete propagation-inhibition model describing the growth of vegetation densities in dry-lands. We analytically ide…
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…
Excitation of Peregrine-type waveforms from vanishing initial conditions in the presence of periodic forcing
Nikos I. Karachalios, Paris Kyriazopoulos, Konstantinos Vetas
We show by direct numerical simulations that spatiotemporally localized wave forms, strongly reminiscent of the Peregrine rogue wave, can be excited by vanishing initial conditions…
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…
Dynamical transitions between equilibria in a dissipative Klein-Gordon lattice
D. J. Frantzeskakis, N. I. Karachalios, P. G. Kevrekidis +2
We consider the energy landscape of a dissipative Klein-Gordon lattice with a on-site potential. Our analysis is based on suitable energy arguments, combined with a discrete…