Pfaffianization of a -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.