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arXiv · 2001.10682

Large time asymptotics for a cubic nonlinear Schr\"odinger system in one space dimension, II

Chunhua Li·Yoshinori Nishii·Yuji Sagawa·Hideaki Sunagawa
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Abstract

This is a sequel to the paper "Large time asymptotics for a cubic nonlinear Schr\"odinger system in one space dimension" by the same authors. We continue to study the Cauchy problem for the two-component system of cubic nonlinear Schr\"odinger 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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Chunhua Li, Yoshinori Nishii, Yuji Sagawa, Hideaki Sunagawa. 2020-01-29. Large time asymptotics for a cubic nonlinear Schr\"odinger system in one space dimension, II. https://doi.org/10.3836/tjm%2F1502179340

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