Browsing Mathematics, Statistics & Physics by Author "Fotopoulos, G."
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Collapse dynamics for the discrete nonlinear Schrödinger equation with gain and loss
Fotopoulos, G.; Karachalios, N.I.; Koukouloyannis, V.; Vetas, K. ( Elsevier B.V. , 2019 , Article)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. Such an extended DNLS system appears in ... -
Spatiotemporal algebraically localized waveforms for a nonlinear Schrödinger model with gain and loss
Anastassi, Z.A.; Fotopoulos, G.; Frantzeskakis, D.J.; Horikis, T.P.; Karachalios, N.I.; Kevrekidis, P.G.; Stratis, I.G.; Vetas, K.... more authors ... less authors ( Elsevier B.V. , 2017 , Article)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 dynamical regimes (depending on the gain/loss ...