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Large time asymptotics for a cubic nonlinear Schrödinger system in one space dimension (1905.07123v1)
Published 17 May 2019 in math.AP
Abstract: We consider a two-component system of cubic nonlinear Schr\"odinger equations in one space dimension. We show that each component of the solutions to this system behaves like a free solution in the large time, but there is a strong restriction between the profiles of them. This turns out to be a consequence of non-trivial long-range nonlinear interactions.