On the Bäcklund transform and the stability of the line soliton of the KP-II equation on ${\mathbb{R}}^2$

Lorenzo Pompili

We study the Miura map of the KP-II equation on ${\mathbb{R}}^2$ and the resulting Bäcklund transform, which adds a line soliton to a given solution. This work aims to develop a compl…