Asymptotic behavior of solutions to the cubic coupled Schr\"odinger systems in one space dimension
Analysis of PDEs
2015-11-05 v1 Mathematical Physics
Dynamical Systems
math.MP
Abstract
In this paper, we study a coupled nonlinear Schr{\"o}dinger system with small initial data in the one dimension Euclidean space. Such a system appears in the context of the coupling between two different optical waveguides. We establish an asymptotic nonlinear behavior and a decay estimate for solutions of this system. The proof uses a recent work of Kato and Pusateri.
Keywords
Cite
@article{arxiv.1511.01263,
title = {Asymptotic behavior of solutions to the cubic coupled Schr\"odinger systems in one space dimension},
author = {Victor Vilaça da Rocha},
journal= {arXiv preprint arXiv:1511.01263},
year = {2015}
}