On the String Equation of the BKP Hierarchy

Nonlinear Sciences – Exactly Solvable and Integrable Systems

Scientific paper

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17 pages

Scientific paper

The Adler-Shiota-van Moerbeke formula is employed to derive the
$W$-constraints for the $p$-reduced BKP hierarchy constrained by the string
equation. We also provide the Grassmannian description of the string equation
in terms of the spectral parameter.

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