Large time asymptotics for a cubic nonlinear Schrödinger system in one space dimension
arXiv:1905.07123 · doi:10.1619/fesi.64.361
Abstract
We consider a two-component system of cubic nonlinear Schrödinger 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.
arXiv comment16 pages
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