Inverse scattering for the nonlinear Schrodinger equation with the Yukawa potential

被引：5
|
作者：
Sasaki, Hironobu [1 ]
机构：
[1] Osaka Univ, Dept Math, Osaka 5630043, Japan
来源：
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS | 2008年 / 33卷 / 07期
基金：
日本学术振兴会;
关键词：
inverse scattering; nonlinear Schrodinger equation; semi-relativistic Hartree equation; Yukawa potential;
D O I：
10.1080/03605300701790245
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the inverse scattering problem for the three dimensional nonlinear Schrodinger equation with the Yukawa potential. The nonlinearity of the equation is nonlocal. We reconstruct the potential and the nonlinearity by the knowledge of the scattering states. Our result is applicable to reconstructing the nonlinearity of the semi-relativistic Hartree equation.
引用
收藏
页码：1175 / 1197
页数：23
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