Abstract
The dynamics of the Pearcey-Gaussian beam with the symmetric Gaussian potential based on the fractional Schrödinger equation is discussed. The results show that the Pearcey-Gaussian beam evolves a straight line with much side lobes without the external potential. When taking the Gaussian potential into account, the diffraction effect of the beam is enhanced and even chaos occurs with the increasing of Lévy index. The direction deflection of the beam can be altered by adjusting the potential and beam parameters, such as potential width, potential height and transverse wave number. In addition, the influence of the chirp on the dynamics of the Pearcey-Gaussian beam in the free space and external potential is investigated.
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