Higher order asymptotics for the nonlinear Schr\"odinger equation
Analysis of PDEs
2024-12-17 v2
Abstract
In this paper we compute the higher order long time asymptotics of the defocussing nonlinear Schr\"odinger equation using the -nonlinear steepest descent method. We assume initial condition in weighted Sobolev space with finite order of regularity and decay.
Cite
@article{arxiv.2412.08943,
title = {Higher order asymptotics for the nonlinear Schr\"odinger equation},
author = {Jiaqi Liu and Changhua Yang},
journal= {arXiv preprint arXiv:2412.08943},
year = {2024}
}