Dark Solitons in Discrete Lattices: Saturable versus Cubic Nonlinearities

Abstract

In the present work, we study dark solitons in dynamical lattices with the saturable nonlinearity and compare them with 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 on-site and inter-site modes, are examined analytically and corroborated by numerical results. Furthermore, their dynamical evolution when they are found to be unstable is obtained through appropriately crafted numerical experiments.

15 pages, 5 figures

References in corpus (1)

• Formation and light guiding properties of dark solitons in one-dimensional waveguide arrays

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• Maxwell Fronts in the Discrete Nonlinear Schrödinger Equations with Competing Nonlinearities
• Stability of discrete dark solitons in nonlinear Schrodinger lattices