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math.AP2026
Lower regularity well-posedness for a higher-order Schrödinger equation with cubic nonlinearities on the half-line
Yuhao Xi, Shenghao Li
In this paper, we continue the study of Himonas and Yan\cite{himonas2024schrodinger,himonas2026higher,himonas2024higher} on the nonlinear Schrödinger equation with a dispersion of…
math.AP2024★ 1 cited
Local well-posedness for a generalized sixth-order Boussinesq equation
Long Zhong, Shenghao Li
A formally second order correct Boussinesq-type equation that describes unidirectional shallow water waves is derived, $$u_{tt} - u_{xx} - u_{xxxx} - u_{xxxxxx} - (u^2)_{xx} - (u^2…