Instantaneous analytic smoothing of rough data for the modified and cubic gKdV equations

Argenis J. Mendez G, Marcelo Nogueira

We consider the $k$-generalized Korteweg-de Vries equation \begin{equation*} \partial_{t}v+\partial_{x}^{3}v +\partial_{x}(v^{k+1})=0, \qquad (t,x)\in\mathbb R\times\mathbb R, \qqu…