Inverse scattering for the nonlinear magnetic Schrodinger equation
Analysis of PDEs
2025-06-03 v1
Abstract
In this paper, we focus on the inverse scattering problem for the nonlinear Schrodinger equation with magnetic potentials. Specifically, we investigate whether the scattering operator associated with the nonlinear Schrodinger equation can uniquely determine the magnetic potential. Our main goal is to establish the uniqueness result for the magnetic potential based on the scattering data obtained from the scattering operator.
Keywords
Cite
@article{arxiv.2506.01246,
title = {Inverse scattering for the nonlinear magnetic Schrodinger equation},
author = {Lei Wei and Hua Huang},
journal= {arXiv preprint arXiv:2506.01246},
year = {2025}
}