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

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

7 pages

Cited by in corpus (32)

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• Squared Eigenfunction Symmetries for the BTL and CTL Hierarchies
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• String Equations of the q-KP Hierarchy
• The Recursion operators of the BKP hierarchy and the CKP Hierarchy
• Virasoro symmetries of Multi-Component Gelfand-Dickey systems
• Negative Generators of the Virasoro Constraints for the BKP Hierarchy
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