Abstract
We address the propagation dynamics of two-dimensional multi-peak solitons in the optical lattices based on the fractional Schrodinger equation. The effect of Levy index and lattice depth on the band-gap structure of optical lattices are presented. Two-, three-, four-, six- and eight-peak solitons all can exist in the first gap and be stable in a wide region of their existence domain. The effective width, maximal peak value and the power of soliton are also studied. It indicates that the Levy index plays a significant role on the properties of solitons.
NSTL
World Scientific