Abstract
We investigate the evolution of two-dimensional solitons in PT-symmetric optical lattices with defocusing nonlocal nonlinearity. We discuss the existence of 2D fundamental solitons, and we numerically stimulate the propagation of these solitons in the optical lattice. We also discuss how different degrees of nonlocality can affect the evolution of solitons, and discover that nonlocality can have significant impacts on the formation and propagation of the solitons. In addition, we find that PT-symmetry can lead to fission and shifting of solitons, and this phenomenon is also affected by the degree of nonlocality.
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