6 citations · 14 across the 7 of their papers we have counts for
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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…
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,…