Solitary waves for a class of generalized Kadomtsev-Petviashvili equation in ${\mathbb{R}}^N$ with positive and zero mass

In this paper we use variational methods to establish a Berestycki-Lions type result for a class of generalized Kadomtsev-Petviashvili equation in ${\mathbb{R}}^N$. The positive and zero mass cases are considered.