Pfaffian and rational solutions for a new form of the (3 + 1) -dimensional BKP equation in fluid dynamics
Normal School, Jinhua Polytechnic, 321007, Jinhua, China
2 Department of Mathematics, Zhejiang Normal University, 321004, Jinhua, China
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Accepted: 8 September 2018
Published online: 25 October 2018
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.
© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature, 2018