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Asymptotic behavior of solutions to the cubic coupled Schrödinger systems in one space dimension

Asymptotic behavior of solutions to the cubic coupled Schrödinger systems in one space dimension

In this paper, we study a coupled nonlinear Schrodinger 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. …