论文标题

非局部非线性schroedinger方程的透明边界条件:无反射传播的模型

Transparent boundary conditions for the nonlocal nonlinear Schroedinger equation: A model for reflectionless propagation of PT-symmetric solitons

论文作者

Akramov, M. E., Yusupov, J. R., Ehrhardt, M., Susanto, H., Matrasulov, D. U.

论文摘要

我们考虑了非本地非线性schroedinger方程所描述的PT对称孤子子的无反射繁殖问题,这是在进化方程的透明边界条件概念的框架中。得出了非局部非线性Schroedinger方程的透明边界条件。通过透明边界条件的数值实现证实了在人工边界处的反向散射。

We consider the problem of reflectionless propagation of PT-symmetric solitons described by the nonlocal nonlinear Schroedinger equation on a line in the framework of the concept of transparent boundary conditions for evolution equations. Transparent boundary conditions for the nonlocal nonlinear Schroedinger equation are derived. The absence of backscattering at the artificial boundaries is confirmed by the numerical implementation of the transparent boundary conditions.

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