paper

Stabilization of two-dimensional solitons in cubic-saturable nonlinear lattices

arXiv:1004.4771 · doi:10.1103/PhysRevA.81.063806

Abstract

We consider soliton dynamics and stability in a nonlinear lattice formed by alternating domains with focusing cubic and saturable nonlinearities. We find that in such lattices solitons centered on cubic domains may be stabilized even in two-dimensional geometries, in spite of their intrinsic catastrophic instability in the absence of the lattice. Solitons centered on saturable domains are always unstable.

16 pages, 5 figures, to appear in Physical Review A

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