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arXiv · 1905.07123

Large time asymptotics for a cubic nonlinear Schrödinger system in one space dimension

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

We consider a two-component system of cubic nonlinear Schrödinger 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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Chunhua Li, Yoshinori Nishii, Yuji Sagawa, Hideaki Sunagawa. 2019-05-17. Large time asymptotics for a cubic nonlinear Schrödinger system in one space dimension. https://doi.org/10.1619/fesi.64.361

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