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A note on decay rates of solutions to a system of cubic nonlinear Schrödinger equations in one space dimension

A note on decay rates of solutions to a system of cubic nonlinear Schrödinger equations in one space dimension

We consider the initial value problem for a system of cubic nonlinear Schrödinger equations with different masses in one space dimension. Under a suitable structural condition on the nonlinearity, we will show that the small amplitude solution exists