LOcalized modes on an Ablowitz-Ladik nonlinear impurity

Details LOcalized modes on an Ablowitz-Ladik nonlinear impurity LOcalized modes on an Ablowitz-Ladik nonlinear impurity

2008-08-04

arxiv.org/abs/0808.0456v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

11 pages, 6 figures, accepted in PLA

Scientific paper

10.1016/j.physleta.2008.08.076

We study localized modes on a single Ablowitz-Ladik impurity embedded in the bulk or at the surface of a one-dimensional linear lattice. Exact expressions are obtained for the bound state profile and energy. Dynamical excitation of the localized mode reveals exponentially-high amplitude oscillations of the spatial profile at the impurity location. The presence of a surface increases the minimum nonlinearity to effect a dynamical selftrapping.

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