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Power Controlled Soliton Stability and Steering in Lattices with Saturable Nonlinearity

Ljupčo HadžievskiVinca Institute of Nuclear Sciences, P.O. Box 522, 11001 Belgrade, Serbia and MontenegroAleksandra MaluckovVinča Institute of Nuclear Sciences, P.O. Box 522, 11001 Belgrade, Serbia and MontenegroMilutin StepićVinča Institute of Nuclear Sciences, P.O. Box 522, 11001 Belgrade, Serbia and MontenegroDetlef KipVinča Institute of Nuclear Sciences, P.O. Box 522, 11001 Belgrade, Serbia and Montenegro
2004en
ABI

Abstract

Dynamical properties of discrete solitons in nonlinear Schrödinger lattices with saturable nonlinearity are studied in the framework of the one-dimensional discrete Vinetskii-Kukhtarev model. Two stationary strongly localized modes, centered on site (A) and between two neighboring sites (B), are obtained. The associated Peierls-Nabarro potential is bounded and has multiple zeros indicating strong implications on the stability and dynamics of the localized modes. Besides a stable propagation of mode A, a stable propagation of mode B is also possible. The enhanced ability of the large power solitons to move across the lattice is pointed out and numerically verified.

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