Stability of the line soliton of the Kadomtsev--Petviashvili-I equation with the critical traveling speed

Yohei Yamazaki

We consider the orbital stability of solitons of the Kadomtsev--Petviashvili-I equation in $\mathbb{R}\times (\mathbb{R}/2\pi \mathbb{Z})$ which is one of a high dimensional generali…