Spatial decay and nonlinear smoothing of the generalized Ostrovsky equation

Xiangqian Yan, Wei Yan, Meihua Yang

This paper is devoted to studying the generalized Ostrovsky equation \begin{eqnarray*} u_{t}-β\partial_{x}^{3}u-γ\partial_{x}^{-1}u+\frac{1}{k+1}(u^{k+1})_{x}=0,k\geq5 \end{eqnar…