Localized modes on an Ablowitz-Ladik nonlinear impurity |
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Authors: | Mario I Molina |
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Institution: | Departamento de Física, Facultad de Ciencias, Universidad de Chile, Casilla 653, Santiago, Chile |
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Abstract: | 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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