The dynamics of light bullets propagating in nonlinear media with linear/nonlinear, gain/loss and coupling described by the (2+1)-dimensional vectorial cubic–quintic complex Ginzburg–Landau (CGL) equations is considered. The evolution and the stability of the vector dissipative optical light bullets, generated from an asymmetric input with respect to two transverse coordinates x and y, are studied. We use the variational method to find a set of differential equations characterizing the variation of the light bullet parameters in the laser cavity. This approach allows us to analyze the influence of various physical parameters on the dynamics of the propagating beam and its relevant parameters. Then, we solve the original coupled (2+1)D cubic–quintic CGL equation using the split-step Fourier method. Numerical results and analytical predictions are confronted, and a good agreement between the two approaches is obtained.

中文翻译：

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光学激光束中的矢量耗散光子弹

考虑了由（2 + 1）维矢量立方-五次复数Ginzburg-Landau（CGL）方程描述的具有线性/非线性，增益/损失和耦合的非线性介质中传播的子弹动力学。从关于两个横向坐标x和y的不对称输入产生的矢量耗散光学子弹的演变和稳定性，正在研究中。我们使用变分方法来找到一组微分方程，这些微分方程表征了激光腔中光弹参数的变化。这种方法使我们能够分析各种物理参数对传播光束及其相关参数动力学的影响。然后，我们使用分步傅里叶方法求解原始的耦合的（2 + 1）D立方五次CGL方程。面对数值结果和分析预测，两种方法之间取得了良好的一致性。