Soliton shedding of Pearcey-Gaussian beams with sidelobes

Abstract

Taking the fractional Schrödinger equation as the theoretical model, the propagation characteristics of the Pearcey-Gaussian beams in the photorefractive medium are studied. The results show that stable breathing solitons can only be generated under certain conditions. The nonlinear coefficient and the Lévy index will change the maximum peak intensity and the breathing period of the soliton. The maximum peak intensity increases with the increase of the nonlinear coefficient but decreases with the increase of the Lévy index, whereas the breathing period of the soliton decreases with the increase of the nonlinear coefficient and the Lévy index. Besides, the interaction of double Pearcey-Gaussian beams in photorefractive media is also analyzed. By adjusting the beam amplitude, interval parameters and relative phase, the diffraction effect of the beams and the nonlinear effect of the medium are balanced to form a single breathing soliton or the double breathing solitons, so as to control the form and transmission process of the solitons. These properties can be used to manipulate beams, which have broad application prospects in optical trapping and particle trapping.