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Loop Algebra Symmetries and Commuting Flows for the Kadomtsev-Petviashvili Hierarchy

A. Yu. Orlov, P. Winternitz

hep-tharXiv:hep-th/9403004

Abstract

The relation between the (∞) symmetry of the Kadomtsev-Petviashvili hierarchy and the Kac-Moody-Virasoro Lie point symmetries of the individual equations is established. The Lie point symmetries are shown to be the only local ones.

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