论文标题
远离一维非线性schr {Ö} dinger方程的平衡状态的表征很远
Characterizing far from equilibrium states of the one-dimensional nonlinear Schr{ö}dinger equation
论文作者
论文摘要
我们使用逆散射变换的数学工具箱来定量研究远离平衡的一维系统的孤子数量，该系统通过散热性非线性schr {Ö} dinger方程来描述。我们提出了一种简单的方法，可以识别LAX光谱中的离散特征值并提供其效率的广泛基准。我们的方法可以原理应用于通过非线性schr {Ö} dinger方程描述的所有物理系统，并允许在数值模拟和可能的实验中识别孤子速度分布。
We use the mathematical toolbox of the inverse scattering transform to study quantitatively the number of solitons in far from equilibrium one-dimensional systems described by the defocusing nonlinear Schr{ö}dinger equation. We present a simple method to identify the discrete eigenvalues in the Lax spectrum and provide a extensive benchmark of its efficiency. Our method can be applied in principle to all physical systems described by the defocusing nonlinear Schr{ö}dinger equation and allows to identify the solitons velocity distribution in numerical simulations and possibly experiments.
