On the String Equation of the BKP Hierarchy

Abstract

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.

17 pages

References in corpus (1)

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

Cited by in corpus (7)

• Block type symmetry of bigraded Toda Hierarchy
• Additional symmetries of constrained CKP and BKP hierarchies
• The "Ghost" Symmetry of the BKP hierarchy
• The "ghost" symmetry in the CKP hierarchy
• The Additional Symmetries for the BTL and CTL Hierarchies
• Virasoro and W-constraints for the $q$-KP hierarchy
• String Equations of the q-KP Hierarchy