| Abstract: |
| In this talk, we study initial-boundary value problems for nonlinear dispersive equations with higher order dispersion on the half-line. Such problems arise naturally in physical models where wave propagation is influenced by both nonlinear effects and dispersion. Our approach is based on the Fokas method, which provides a systematic framework for solving the associated linear problems. Using this method, we establish optimal well-posedness results for a class of higher order nonlinear Schr\odinger and KdV-type equations. |
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