On recovering the nonlinearity for generalized higher-order Schr\"odinger equations
Analysis of PDEs
2023-10-23 v2
Abstract
In this note, we generalize the nonlinearity-recovery result in [7] for classical cubic nonlinear Schr\"odinger equations to higher-order Schr\"odinger equations with a more general nonlinearity. More precisely, we consider a spatially-localized nonlinear higher-order Schr\"odinger equation and recover the spatially-localized coefficient by the solutions with data given by small-amplitude wave packets.
Keywords
Cite
@article{arxiv.2303.06312,
title = {On recovering the nonlinearity for generalized higher-order Schr\"odinger equations},
author = {Zachary Lee and Xueying Yu},
journal= {arXiv preprint arXiv:2303.06312},
year = {2023}
}