Scattering for quadratic-type Schr\"odinger systems in dimension five without mass-resonance
Abstract
In this paper we study the scattering of non-radial solutions in the energy space to coupled system of nonlinear Schr\"odinger equations with quadratic-type growth interactions in dimension five without the mass-resonance condition. Our approach is based on the recent technique introduced by Dodson and Murphy, which relies on an interaction Morawetz estimate. It is proved that any solution below the ground states scatters in time.
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