Abstract
A new general variable-coefficient KP equation with self-consistent sources and its Grammian solutions is obtained by using the source generation procedure. Moreover, by applying the Pfaffianization procedure, a new coupled variable-coefficient KP equation is constructed. Its Wronski-type Pfaffian solution and Gramm-type Pfaffian solution are given. At last, a new integrable system of the general variable-coefficient KP equation with self-consistent sources is established.
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