Inverse scattering for the nonlinear Schr\"{o}dinger equation with the Yukawa potential
Analysis of PDEs
2008-06-25 v2 Functional Analysis
Abstract
We study the inverse scattering problem for the three dimensional nonlinear Schroedinger 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.
Keywords
Cite
@article{arxiv.0711.0562,
title = {Inverse scattering for the nonlinear Schr\"{o}dinger equation with the Yukawa potential},
author = {Hironobu Sasaki},
journal= {arXiv preprint arXiv:0711.0562},
year = {2008}
}