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

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arxiv 2001.10682 v1 pith:HJGS5A5L submitted 2020-01-29 math.AP

Chunhua Li , Yoshinori Nishii , Yuji Sagawa , Hideaki Sunagawa This is my paper · ORCID
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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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