Anomalous interaction of Pearcey Gaussian pulse in saturable nonlinear media

The dynamics of the mutual interaction of two temporally separated Pearcey Gaussian (PG) pulses in a saturable nonlinear medium is investigated. According to the temporal separation, relative phase, and saturation coefficient of the two pulses, we observed attraction or repulsion between PG pulses. The attraction leads to the generation of breathing solitons whose period increases linearly with the saturation parameter. By adjusting the pulse separation, the change of the initial interference makes the two pulses transmit without mutual interference. We also find that the repulsion makes the two pulses separate, and the interval decreases with the saturable parameter. We also investigate the impact of quadratic chirp imposed on the input pulse on the interaction dynamics. Our results reveal a novel scenario for PG pulses interaction in the nonlinear Schrödinger equation and provide an alternative mechanism to control breather soliton generation.