An inverse Born approximation for the general nonlinear Schrodinger operator on the line

被引：6
|
作者：
Serov, V. S. [1 ]
机构：
[1] Univ Oulu, Dept Math Sci, FIN-90014 Oulu, Finland
来源：
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2009年 / 42卷 / 33期
基金：
芬兰科学院;
关键词：
ELECTROMAGNETIC-WAVES; LIMITED DATA; SCATTERING; EQUATION; RECONSTRUCTION; FILM; DISCONTINUITIES; REFLECTION;
D O I：
10.1088/1751-8113/42/33/332002
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
This work deals with the inverse scattering problems for the one-dimensional Schrodinger equation of the most general form -u '' + F(x, u) = k(2)u, with general nonlinearity F and with a real parameter k. Under some assumptions on F we prove that all singularities and jumps of F(x, u(0)), where u(0)(x, k) = e(ikx), can be recovered by the reflection coefficient with arbitrary large k.
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页数：7
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