Coherent interactions of multi-Airy–Gaussian beams in photorefractive media

We have investigated the interaction properties of multi-Airy-Gaussian beams under the in-phase and out-phase conditions, respectively. For the case of three Airy–Gaussian beams, the breathing solitons with single, two and three components can be observed under certain conditions. The breathing solitons with single, three and four components can be observed for four Airy–Gaussian beams. The types of breathing solitons for out-phase multi-Airy–Gaussian beams are less than that of in-phase multi-Airy–Gaussian beams. Furthermore, the types of breathing solitons can be controlled by adjusting the space interval, nonlinear parameter and self-accelerating direction.