Abstract

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.

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