摘要

By using the fundamental Pfaffian identity, a Pfaffian formulation is established for a new form of the (3 + 1) -dimensional B-type Kadomtsev-Petviashvili equation in fluid dynamics. Generating functions for Pfaffian entries need to satisfy a linear system of partial differential equations involving the combined equations. The resulting solutions formulas provide us with a comprehensive approach to construct rational solutions, particularly lump-type solutions. Furthermore, a large class of lump-type solutions is also constructed by straightforward symbolic computations.