以非线性薛定谔方程为理论模型，研究了艾里-高斯光束在高斯型PT（Parity-time）对称介质中的传输与控制。详细分析了高斯型PT对称介质的特征参数（调制深度 P、调制因子ω、增益/损耗系数W₀）和艾里-高斯光束的特征参数（截断系数a、分布因子χ0）对艾里-高斯光束的传输特性的影响。结果表明：在高斯型PT对称介质中，艾里-高斯光束可以形成振荡孤子，且可稳定传输。孤子的峰值强度随P、W₀、a的增大而增大，随ω的增大而减小；振荡周期随P和ω的增大而减小，随W₀的增大而增大。当χ0增大时，在0<χ0<0.55范围内，孤子的峰值强度变化不明显；当χ0>0.55时，孤子的峰值强度迅速减小。该研究结果可为孤子在复杂非均匀介质中的传输及全光控制方面的应用提供理论基础。

In this study, the propagation and control of Airy-Gaussian beams in Gaussian parity-time (PT) symmetric media are investigated numerically, by utilizing the nonlinear Schrödinger equation as a theoretical model. The impacts of the characteristic parameters of Gaussian PT symmetric media (modulation depth P, modulation factor ω, and gain/loss factor W₀) and the characteristic parameters of Airy-Gaussian beams (truncation factor a, distribution factor χ0) on propagation characteristics of Airy-Gaussian beams are examined in detail. The results demonstrate that the Airy-Gaussian beams can produce oscillating solitons and transmit steadily in Gaussian PT symmetric media. The soliton strength increases with the increase of P, W₀, and a, and decreases with the increase of ω. The oscillation period decreases with the increase of P and ω and increases with the increase of W₀. When χ0 increases, when 0<χ0<0.55, the peak intensity of the soliton does not change obviously; when χ0>0.55, the peak intensity of the soliton decreases rapidly. This research can offer a theoretical foundation for the use of soliton transmission in complicated heterogeneous media and all-optical control.