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Construction of adaptive artificial boundary conditions using the invariant ratios for Schr??dinger equation

机译:使用不变比的Schr ?? dinger方程构造自适应人工边界条件

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We propose a new way for computation of local wave number or instantaneous frequency, which is used in adaptive artificial boundary conditions using for nonlinear 1D Schrödinger equation. Computer simulation results, obtained by using of this method, are compared with corresponding results obtained by solving this equation with zero-value boundary condition for enough bigger size of domain and demonstrated the efficiency of proposed method.
机译:我们提出了一种计算局部波数或瞬时频率的新方法,该方法用于非线性一维Schrödinger方程的自适应人工边界条件中。将使用该方法获得的计算机仿真结果与通过使用零值边界条件求解此方程以得到足够大的域大小而得到的相应结果进行比较,并证明了该方法的有效性。

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