In this paper we study the scattering of radial solutions to a $ l $-component system of nonlinear Schrödinger equations with quadratic-type growth interactions in dimension five. Our approach is based on the recent technique introduced by Dodson and Murphy, which relies on the radial Sobolev embedding and a Morawetz estimate.

中文翻译：

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二次维Schrödinger系统在5维上的径向解的散射

在本文中，我们研究了具有维数为5的二次型增长相互作用的非线性Schrödinger方程的l元组件系统的径向解的散射。我们的方法基于Dodson和Murphy引入的最新技术，该技术依赖于径向Sobolev嵌入和Morawetz估计。