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From the KP hierarchy to the Painlev\'e equations

Presented by: 
S Kakei [Tokyo]
Friday 22nd September 2006 - 11:30 to 12:00
INI Seminar Room 1

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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