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非线性薛定谔方程的吸收边界条件。

Absorbing boundary conditions for nonlinear Schrödinger equations.

作者信息

Xu Zhenli, Han Houde

机构信息

Department of Mathematics, University of Science and Technology of China, Hefei, Anhui, 230026, China.

出版信息

Phys Rev E Stat Nonlin Soft Matter Phys. 2006 Sep;74(3 Pt 2):037704. doi: 10.1103/PhysRevE.74.037704. Epub 2006 Sep 26.

DOI:10.1103/PhysRevE.74.037704
PMID:17025792
Abstract

A local time-splitting method (LTSM) is developed to design absorbing boundary conditions for numerical solutions of time-dependent nonlinear Schrödinger equations associated with open boundaries. These boundary conditions are significant for numerical simulations of propagations of nonlinear waves in physical applications, such as nonlinear fiber optics and Bose-Einstein condensations. Numerical examples are implemented to demonstrate the attractive features of using the LTSM.

摘要

一种局部时间分裂方法（LTSM）被开发出来，用于为与开放边界相关的含时非线性薛定谔方程的数值解设计吸收边界条件。这些边界条件对于物理应用中非线性波传播的数值模拟非常重要，例如非线性光纤光学和玻色 - 爱因斯坦凝聚。通过数值例子来展示使用LTSM的吸引人的特性。

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