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.

引用

页数：7

共 24 条

[1]

AGRANOVICH ZS, 1963, INVERSE PROBLEMS SCA

[2] Inverse scattering on the line for a generalized. nonlinear Schrodinger equation [J].