2000 character limit reached
Asymptotic behavior of solutions to the cubic coupled Schrödinger systems in one space dimension (1511.01263v1)
Published 4 Nov 2015 in math.AP, math-ph, math.DS, and 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.