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. A new simple formula for the generator of additional symmetries is also presented.
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Communicated by A. Jaffe
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Dickey, L.A. On additional symmetries of the KP hierarchy and Sato's Backlund transformation. Commun.Math. Phys. 167, 227–233 (1995). https://doi.org/10.1007/BF02099358
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DOI: https://doi.org/10.1007/BF02099358