On the BKP hierarchy: additional symmetries, Fay identity and Adler-Shiota-van Moerbeke formula

Nonlinear Sciences – Exactly Solvable and Integrable Systems

Scientific paper

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14 pages

Scientific paper

10.1007/s11005-007-0172-0

We give an alternative proof of the Adler-Shiota-van Moerbeke formula for the
BKP hierarchy. The proof is based on a simple expression for the generator of
additional symmetries and the Fay identity of the BKP hierarchy.

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