AI 中文总结
研究如何推广埃伦费斯特定理计算非线性波宽度，将非线性势建模为量子谐振子，应用于不同非线性响应并与数值模拟对比，能简单直观解释非线性约束波主要特性。
AI 中文摘要
我们讨论如何推广埃伦费斯特定理以计算服从非线性薛定谔方程的非线性波的宽度。为此，我们将非线性势建模为一个量子谐振子（QHO），其强度取决于功率和波函数宽度。我们将该模型应用于不同类型的非线性响应，最终将结果与数值模拟进行比较。我们的模型具有以相对简单和直观的方式解释非线性约束波的主要特性（如稳定性和呼吸）的优点。
英文摘要
We discuss how to generalize the Ehrenfest theorem for the computation of the width of nonlinear waves obeying the nonlinear Schrodinger equation. To do that, we model the nonlinear potential as a quantum harmonic oscillator (QHO) whose strength depends on the power and on the wavefunction width. We apply the model to different types of nonlinear responses, eventually comparing the results with numerical simulations. Our model has the advantage of explaining the main properties of nonlinear confined waves, such as stability and breathing, in a relatively simple and intuitive manner.
Comments18 pages, 10 figures. Submitted to Physical Review A
