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Local well-posedness of the higher-order nonlinear Schrödinger equation on the half-line: the case of two boundary conditions
We prove the local Hadamard well-posedness of the higher-order nonlinear Schrödinger equation with negative dispersion coefficient on the half-line under nonzero Dirichlet and Neumann boundary data. The paper uncovers a striking feature of this model: unlike the positive-dispersion case studied in (
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