https://doi.org/10.1140/epjp/i2018-12313-6
Regular Article
Pfaffian and rational solutions for a new form of the (3 + 1) -dimensional BKP equation in fluid dynamics
1
Normal School, Jinhua Polytechnic, 321007, Jinhua, China
2
Department of Mathematics, Zhejiang Normal University, 321004, Jinhua, China
* e-mail: jhchengli@126.com
Received:
17
April
2018
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
