Abstract This paper constructs more general exact solutions than $N$-soliton solution and Wronskian solution for variable-coefficient Kadomtsev--Petviashvili (KP) equation. By using the Hirota method and Pfaffian technique, it finds the Grammian determinant-type solution for the variable-coefficient KP equation (VCKP), the Wronski-type Pfaffian solution and the Gram-type Pfaffian solutions for the Pfaffianized VCKP equation.
Received: 25 October 2006
Revised: 11 December 2006
Accepted manuscript online:
Fund: Project supported by the National Key Basic
Research Project of China (2004CB318000), the National Science
Foundation of China
(Grant No~10371023) and Shanghai Shuguang Project of China (Grant No~02SG02).
Cite this article:
Zhang Qing-Fan(张晴帆) and Fan En-Gui(范恩贵) Pfaffianization of the variable-coefficient Kadomtsev--Petviashvili equation 2007 Chinese Physics 16 1505
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