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Bilinear equation and additional symmetries for an extension of the Kadomtsev-Petviashvili hierarchy

Published 28 Nov 2019 in nlin.SI | (1911.12727v2)

Abstract: An extension of the Kadomtsev-Petviashvili (KP) hierarchy defined via scalar pseudo-differential operators was studied in [16, 20]. In this paper, we represent the extended KP hierarchy into the form of bilinear equation of (adjoint) Baker-Akhiezer functions, and construct its additional symmetries. As a byproduct, we derive the Virasoro symmetries for the constrained KP hierarchies.

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