Pfaffianization of a (3+1)-dimensional generalized Kadomtsev-Petviashvili equation

In this paper, a (3+1)-dimensional generalized Kadomtsev-Petviashvili (KP) equation is first discussed using the pfaffianization procedure. A (3+1)-dimensional generalized coupled KP system is derived together with the Wronski-type pfaffian solution. Furthermore, the Gramm-type pfaffian solution for such a coupled system is presented and verified with the help of the pfaffian identities.