耗散非线性管理的平均化
Averaging of Nonlinearity Management with Dissipation
摘要：
受最近光学和原子物理学实验的启发，我们导出了一个描述周期非线性和耗散系数随时间变化的非线性Schroedinger模型中复杂光场动力学的平均非线性偏微分方程.耗散的引入是出于实验考虑。我们测试的数值行为的衍生平均方程进行比较，原来的非自治模型在一个典型的情况下，观察两者之间的良好协议。
英文摘要：
Motivated by recent experiments in optics and atomic physics, we derive an averaged nonlinear partial differential equation describing the dynamics of the complex field in a nonlinear Schroedinger model in the presence of a periodic nonlinearity and a periodically-varying dissipation coefficient. The incorporation of dissipation is motivated by experimental considerations. We test the numerical behavior of the derived averaged equation by comparing it to the original nonautonomous model in a prototypical case scenario and observe good agreement between the two.
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