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nlin.PS2023
On the proximity between the wave dynamics of the integrable focusing nonlinear Schrödinger equation and its non-integrable generalizations
Dirk Hennig, Nikos I. Karachalios, Dionyssios Mantzavinos +2
The question of whether features and behaviors that are characteristic to completely integrable systems persist in the transition to non-integrable settings is a central one in the…
nlin.PS2017
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…