On the uniform bound of solutions for the KP-type equations Original Research Article

We determine here the conditions to obtain the uniform bound of solutions of a generalized rotation-modified Kadomtsev–Petviashvili equation and a generalized Kadomtsev–Petviashvili coupled with a Benjamin–Ono equation. These conditions are constructed in terms of the best constant of the two dimensional anisotropic Sobolev inequality.