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An Isaac Newton Institute Workshop

Painleve Equations and Monodromy Problems: Recent Developments

From the KP hierarchy to the Painleve equations

Authors: Saburo Kakei (Rikkyo University), Tetsuya Kikuchi (University of Tokyo)

Abstract

There are many examples of similarity reductions that connect soliton equations to the Painleve equations. In this talk, we will reformulate known examples from the viewpoint of the KP hierarchy and give a unified framework. As a result, the generic Painleve VI is obtained as a similarity reduction of the three-component KP hierarchy.

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