2007•Chinese PhysicsOpen access

Pfaffianization of the variable-coefficient Kadomtsev–Petviashvili equation

Zhang Qing-Fan, Fan En-Gui

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.

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Available abstract

Key concepts: Pfaffian, Wronskian, Kadomtsev–Petviashvili equation, Gramian matrix, Variable coefficient, Variable (mathematics), Soliton, Type (biology)