A. Alkin

Local well-posedness of the higher-order nonlinear Schr\"{o}dinger equation on the half-line: the case of two boundary conditions

We prove the local Hadamard well-posedness of the higher-order nonlinear Schr\"odinger 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 (Alk{\i}n, Mantzavi...