Exact nonreflecting boundary conditions for one-dimensional cubic nonlinear Schrodinger equations

被引：65

作者：

Zheng, Chunxiong ^{[1
]}

机构：

[1] Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China

来源：

JOURNAL OF COMPUTATIONAL PHYSICS | 2006年 / 215卷 / 02期

关键词：

nonlinear Schrodinger equation; unbounded domains; nonreflecting boundary conditions;

D O I：

10.1016/j.jcp.2005.11.005

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

The numerical approximation of one-dimensional cubic nonlinear Schrodinger equations on the whole real axis is studied in this paper. Based on the work of A. Boutet de Monvel, A.S. Fokas and D. Shepelsky [Lett. Math. Phys., 65(3): 199212, 2003], a kind of exact nonreflecting boundary conditions are derived on the artificially introduced boundary points. The related numerical issues are discussed in detail. Several numerical tests are performed to demonstrate the behaviour of the proposed scheme. (c) 2005 Elsevier Inc. All rights reserved.

引用

页码：552 / 565

页数：14

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