Reconstruction of discontinuities in the nonlinear one-dimensional Schrodinger equation from limited data

被引：7

作者：

Serov, Valery ^{[1
]}

Harju, Markus ^{[1
]}

机构：

[1] Univ Oulu, Dept Math Sci, Oulu 90014, Finland

来源：

INVERSE PROBLEMS | 2007年 / 23卷 / 02期

关键词：

D O I：

10.1088/0266-5611/23/2/003

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove that in dimension one the combined jumps and singularities of the unknown functions appearing in the nonlinear Schrodinger equation can be recovered using the Born approximation. The result is based on accurate determination of the first nonlinear term of the Born sequence. Numerical examples illustrate the feasibility of this technique.

引用

页码：493 / 506

页数：14

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