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

Published 4 Nov 2015 in math.AP, math-ph, math.DS, and math.MP | (1511.01263v1)

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.

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Authors (1)

  1. Victor Vilaça Da Rocha 

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