On a generalized derivative nonlinear Schr\"odinger equation
Abstract
We consider a generalized derivative nonlinear Schr\''odinger equation. We prove existence of wave operator under an explicit smallness of the given asymptotic states. Our method bases on studying the associated system used in Tinpaper4. Moreover, we show that if the initial data is small enough in H2(R) then the associated solution scatters up to a Gauge transformation.
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