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