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

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

1993-12-02

arxiv.org/abs/hep-th/9312015v1

Commun.Math.Phys. 167 (1995) 227-234

Physics

High Energy Physics

High Energy Physics - Theory

7 pages

Scientific paper

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 $\tau$-functions as Sato's B\"acklund transformations. Also a new
simple formula for the generator of additional symmetries is presented.

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