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On additional symmetries of the KP hierarchy and Sato's Bäcklund transformation

1993/12/02 by Leonid Dickey · 1 citation
Physics and Astronomy · #hep-th

paper · pdf · doi:10.1007/bf02099358

published as Commun.Math.Phys. 167 (1995) 227-234 · 7 pages

arxiv created 1993/12/02 · arxiv updated 2015/06/26

Abstract

A short proof is given to the fact that the additional symmetries of the KP hierarchy defined by their action on pseudodifferential operators, according to Fuchssteiner-Chen-Lee-Lin-Orlov-Shulman, coincide with those defined by their action on τ-functions as Sato's Bäcklund transformations. Also a new simple formula for the generator of additional symmetries is presented.

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