Asymptotic behavior of solutions to the cubic coupled Schr\"odinger systems in one space dimension
Abstract
In this paper, we study a coupled nonlinear Schr\"odinger 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.
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