一维三次非线性Schrödinger系统的大时间渐近性，2

Pub Date : 2019-05-17 DOI:10.1619/fesi.64.361

Chunhua Li, Y. Nishii, Yuji Sagawa, Hideaki Sunagawa

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引用次数: 8

摘要

这是同一作者的论文“一维三次非线性薛定谔系统的大时间渐近性”的续集。我们继续研究一维三次非线性薛定谔方程的双组分系统的柯西问题。根据初始数据的傅立叶变换，我们提供了小振幅解在$L^2$中的大时间衰减或非衰减的标准。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文

Large Time Asymptotics for a Cubic Nonlinear Schrödinger System in One Space Dimension, II

This is a sequel to the paper "Large time asymptotics for a cubic nonlinear Schrodinger system in one space dimension" by the same authors. We continue to study the Cauchy problem for the two-component system of cubic nonlinear Schrodinger equations in one space dimension. We provide criteria for large time decay or non-decay in $L^2$ of the small amplitude solutions in terms of the Fourier transforms of the initial data.

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