Solitons in one-dimensional nonlinear Schrödinger lattices with a local inhomogeneity

Details Solitons in one-dimensional nonlinear Schrödinger lattices with a local inhomogeneity Solitons in one-dimensional nonlinear Schrödinger lattices with a local inhomogeneity

2007-12-14

arxiv.org/abs/0712.2322v1

Nonlinear Sciences

Pattern Formation and Solitons

12 pages, 10 figures

Scientific paper

10.1103/PhysRevE.77.036614

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 Schr\"{o}dinger 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.

Affiliated with

Also associated with

No associations

Rating

Solitons in one-dimensional nonlinear Schrödinger lattices with a local inhomogeneity does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Solitons in one-dimensional nonlinear Schrödinger lattices with a local inhomogeneity, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Solitons in one-dimensional nonlinear Schrödinger lattices with a local inhomogeneity will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-662386