Dark solitons in discrete lattices: saturable versus cubic nonlinearities.

@article{Fitrakis2007DarkSI,
  title={Dark solitons in discrete lattices: saturable versus cubic nonlinearities.},
  author={Eftichis Fitrakis and Panayotis G. Kevrekidis and Hadi Susanto and Dimitri J. Frantzeskakis},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  year={2007},
  volume={75 6 Pt 2},
  pages={
          066608
        }
}
In the present work, we study dark solitons in dynamical lattices with the saturable nonlinearity and compare them to those in lattices with the cubic nonlinearity. This comparison has become especially relevant in light of recent experimental developments in the former context. The stability properties of the fundamental waves, for both onsite and intersite modes, are examined analytically and corroborated by numerical results. Our findings indicate that for both models onsite solutions are… 

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