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

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  • Soliton Equations in (2+1) Dimensions and the Painleve Property
  • Soliton Equations in 2 + 1 Dimensions a

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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.

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