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arXiv · 2412.08943

Higher order asymptotics for the nonlinear Schr\"odinger equation

Jiaqi Liu·Changhua Yang
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Abstract

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

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Jiaqi Liu, Changhua Yang. 2024-12-12. Higher order asymptotics for the nonlinear Schr\"odinger equation. https://arxiv.org/abs/2412.08943

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