Pfaffian, soliton, breather and hybrid solutions for a (2+1)-dimensional combined potential Kadomtsev-Petviashvili-B-type Kadomtsev-Petviashvili equation in fluid mechanics

In this paper, we study a (2+1)-dimensional combined potential Kadomtsev-Petviashvili-B-type Kadomtsev-Petviashvili equation in fluid mechanics. The Nth-order Pfaffian solutions are constructed and proved via the modified Pfaffian technique, where N is a positive integer. Soliton, breather and hybrid solutions are worked out based on the Nth-order Pfaffian solutions. Interaction between the two solitons is classified into the elastic interaction, inelastic interaction and soliton resonance via the asymptotic analysis. For the two solitons, elastic interactions, inelastic interactions and soliton resonances are discussed graphically. Breather, lump and hybrid solutions composed of the breathers, lumps and solitons are illustrated graphically.