On a class of solutions to the generalized KdV type equation

Felipe Linares, Hayato Miyazaki, Gustavo Ponce

We consider the IVP associated to the generalized KdV equation with low degree of non-linearity \begin{equation*} \partial_t u + \partial_x^3 u \pm |u|^α\partial_x u = 0,\; x,t \in…