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

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arxiv 1905.07123 v1 pith:IEHZYFEE submitted 2019-05-17 math.AP

Chunhua Li , Yoshinori Nishii , Yuji Sagawa , Hideaki Sunagawa This is my paper · ORCID
classification math.AP
keywords nonlinearsystemcubicdimensionlargeodingerschrspace
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We consider a two-component system of cubic nonlinear Schr\"odinger equations in one space dimension. We show that each component of the solutions to this system behaves like a free solution in the large time, but there is a strong restriction between the profiles of them. This turns out to be a consequence of non-trivial long-range nonlinear interactions.

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