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arXiv · 1511.01263

Asymptotic behavior of solutions to the cubic coupled Schr\"odinger systems in one space dimension

Victor Vilaça da Rocha
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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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Victor Vilaça da Rocha. 2015-11-04. Asymptotic behavior of solutions to the cubic coupled Schr\"odinger systems in one space dimension. https://arxiv.org/abs/1511.01263

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