Solitons supported by two-dimensional mixed linear-nonlinear complex optical lattices

The evolution of solitons in the two-dimensional mixed linear-nonlinear complex optical lattices is investigated. It is found that the nonlinearity-modulation depth plays a significant role on the existence of solitons. Both the nonlinearity-modulation depth and amplitude of the imaginary part of nonlinear lattice have a great effect on the stability of solitons. Moreover, the period of nonlinear lattice can influence the properties of solitons dramatically. In addition, we also study the mobility of solitons and find that the soliton can maintain its original shape while the mass center of solitons will oscillate periodically in a certain tilt angle range. However, if the tilt angle is large enough, the soliton will be distorted and its mass center oscillates irregularly.