Large time asymptotics for a cubic nonlinear Schr\"odinger system in one space dimension
Analysis of PDEs
2021-12-23 v1
Abstract
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.
Cite
@article{arxiv.1905.07123,
title = {Large time asymptotics for a cubic nonlinear Schr\"odinger system in one space dimension},
author = {Chunhua Li and Yoshinori Nishii and Yuji Sagawa and Hideaki Sunagawa},
journal= {arXiv preprint arXiv:1905.07123},
year = {2021}
}
Comments
16 pages