Soliton Equations in (2+1) Dimensions and the Painlevé Property

Abstract

The “singular point analysis” for partial differential equations due to Weiss, Tabor, and Carnevale is performed for soliton equations in (2+1) dimensions. The soliton equations are derived with the help of pseudo differential operators and include the Kadomtsev-Petviashvili (K-P) equation. We demonstrate that the equations under consideration have the Painlevé property.