Higher order asymptotics for the nonlinear Schrödinger equation

Published: December 12, 2024Updated: December 14, 2024PDF arXiv

Abstract

In this paper we compute the higher order long time asymptotics of the defocussing nonlinear Schrödinger equation using the $\overline{\partial}$-nonlinear steepest descent method. We assume initial condition in weighted Sobolev space with finite order of regularity and decay.

Higher order asymptotics for the nonlinear Schrödinger equation

Jiaqi Liu, Changhua Yang

math.AP

Published: December 12, 2024Updated: December 14, 2024PDF arXiv

Abstract

In this paper we compute the higher order long time asymptotics of the defocussing nonlinear Schrödinger equation using the $\overline{\partial}$-nonlinear steepest descent method. We assume initial condition in weighted Sobolev space with finite order of regularity and decay.