Large time asymptotics for a cubic nonlinear Schr\'odinger system in one space dimension
- Resource Type
- Working Paper
- Authors
- Li, Chunhua; Nishii, Yoshinori; Sagawa, Yuji; Sunagawa, Hideaki
- Source
- Funkcialaj Ekvacioj, 2021 Volume 64, Issue 3, Pages 361-377
- Subject
- Mathematics - Analysis of PDEs
- Language
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.
Comment: 16 pages