Existence and concentration of nontrivial solitary waves for a generalized Kadomtsev--Petviashvili equation in ${\mathbb{R}}^2$

Claudianor O. Alves, Chao Ji

In this paper, we study the existence and concentration of solitary waves for a class of generalized Kadomtsev-Petviashvili equations with the potential in ${\mathbb{R}}^2$ via the v…