Solitons in one-dimensional nonlinear Schrödinger lattices with a local inhomogeneity
| dc.creator | Palmero, F. | |
| dc.creator | Carretero-González, R. | |
| dc.creator | Cuevas, J. | |
| dc.creator | Kevrekidis, P. G. | |
| dc.creator | Królikowski, W. | |
| dc.date | 2007-12-14 | |
| dc.date.accessioned | 2026-07-07T09:29:03Z | |
| dc.date.available | 2026-07-07T09:29:03Z | |
| dc.description | In this paper we analyze the existence, stability, dynamical formation and mobility properties of localized solutions in a one-dimensional system described by the discrete nonlinear Schrödinger equation with a linear point defect. We consider both attractive and repulsive defects in a focusing lattice. Among our main findings are: a) the destabilization of the on--site mode centered at the defect in the repulsive case; b) the disappearance of localized modes in the vicinity of the defect due to saddle-node bifurcations for sufficiently strong defects of either type; c) the decrease of the amplitude formation threshold for attractive and its increase for repulsive defects; and d) the detailed elucidation as a function of initial speed and defect strength of the different regimes (trapping, trapping and reflection, pure reflection and pure transmission) of interaction of a moving localized mode with the defect. | |
| dc.description | 12 pages, 10 figures | |
| dc.identifier | https://arxiv.org/abs/0712.2322 | |
| dc.identifier | http://arxiv.org/abs/0712.2322 | |
| dc.identifier | doi:10.1103/PhysRevE.77.036614 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/157647 | |
| dc.subject | Pattern Formation and Solitons | |
| dc.title | Solitons in one-dimensional nonlinear Schrödinger lattices with a local inhomogeneity | |
| dc.type | text |