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

In this paper, we study a coupled nonlinear Schr{ö}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.

preprint2015arXivOpen access
Victor Vilaça Da Rocha
math.APmath-phmath.DSmath.MP
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Open access1 author4 topics
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Victor Vilaça Da Rocha

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