Dark Solitons in Discrete Lattices: Saturable versus Cubic Nonlinearities

Details Dark Solitons in Discrete Lattices: Saturable versus Cubic Nonlinearities Dark Solitons in Discrete Lattices: Saturable versus Cubic Nonlinearities

2006-08-10

arxiv.org/abs/nlin/0608023v1

Nonlinear Sciences

Pattern Formation and Solitons

15 pages, 5 figures

Scientific paper

10.1103/PhysRevE.75.066608

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.

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