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| We consider a system of two nonlinear Schr\"{o}dinger equations, which are coupled through a linear term in addition to the nonlinearity. We are interested in the long-time behavior and blow-up alternative of such systems. Numerical simulations in one and two space dimensional equations verify and complement the theoretical results. Finally, we want to understand the effect of the linear coupling in this setting and perform the asymptotics for large linear coupling. |
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