Optical solitons supported by finite waveguide lattices with diffusive nonlocal nonlinearity* *Project supported by the National Natural Science Foundation of China (Grant No. 11704339), the Applied Basic Research Program of Shanxi Province, China (Grant No. 201901D211466), the Natural Science Basic Research Plan in Shaanxi Province of China (Grant No. 2019JM-307), and the Scientific and Technological Innovation Programs of Higher Education

Abstract

We investigate the properties of fundamental, multi-peak, and multi-peaked twisted solitons in three types of finitewaveguide lattices imprinted in photorefractive media with asymmetrical diffusion nonlinearity. Two opposite soliton self-bending signals are considered for different families of solitons. Power thresholdless fundamental and multi-peaked solitons are stable in the low power region. The existence domain of two-peaked twisted solitons can be changed by the soliton self-bending signals. When solitons tend to self-bend toward the waveguide lattice, stable two-peaked twisted solitons can be found in a larger region in the middle of their existence region. Three-peaked twisted solitons are stable in the lower (upper) cutoff region for a shallow (deep) lattice depth. Our results provide an effective guidance for revealing the soliton characteristics supported by a finite waveguide lattice with diffusive nonlocal nonlinearity.