Abstract
The propagation properties of the interaction of Airy Gaussian beams and solitons modeled by the fractional Schrödinger equation in nonlocal nonlinear media are demonstrated numerically. The transmission direction of beams is deflected in the nonlocal nonlinear media and the direction of deflection is related to the symbol of nonlocal nonlinear parameter. The interval parameter and Lévy index determine whether the beams form bound state or soliton in the transmission process. When the absolute value of the interval parameter and Lévy index are large, the beams cannot form solitons, but only a bound state beam. The transmission dynamics of the double Airy Gaussian beams and single soliton interaction are also discussed in this paper, as well as the numerical simulation results obtained for the double Airy Gaussian beams and double solitons interaction. These properties have potential application value for controlling the propagation and direction of light beams and have certain significance in the field of optical switches.
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