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PEM

Seminar

From the KP hierarchy to the Painlev\'e equations

Kakei, S (Tokyo)
Friday 22 September 2006, 11:30-12:00

Seminar Room 1, Newton Institute

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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