We study a nonautonomous (2+1)-dimensional coupled partially nonlocal nonlinear Schrödinger equation under a linear and parabolic potential, and find a mapping expression between nonautonomous and autonomous equations. Via this mapping equation with the Darboux method, we find diversified exact solutions, such as scalar and vector crossed breather-pair. By changing values of phase chirp and diffraction parameters to alter value of maximal cumulative time and compare with values of top position, we investigate the controlling excitation of scalar and vector crossed breathers including the early shape, top shape, entire shape and periodical reproduction excitations in different external potentials.

我们研究了线性和抛物线电位下的非自治（2 + 1）维耦合部分非局部非线性Schrödinger方程，并找到了非自治和自治方程之间的映射表达式。通过使用Darboux方法的映射方程，我们找到了多种精确的解决方案，例如标量和矢量交叉呼吸对。通过改变相位chi和衍射参数的值以改变最大累积时间的值，并与顶部位置的值进行比较，我们研究了标量和矢量交叉呼吸器的控制激励，包括早期形状，顶部形状，整体形状和周期性繁殖激励。不同的外部潜力。