String Equations of the q-KP Hierarchy

Abstract

Based on the Lax operator $L$ and Orlov-Shulman's $M$ operator, the string equations of the $q$-KP hierarchy are established from special additional symmetry flows, and the negative Virasoro constraint generators \{$L_{-n},n\ge 1$\} of the $2-$reduced $q$-KP hierarchy are also obtained.

11pages

References in corpus (7)

• Integrability and Matrix Models
• Solving Virasoro Constraints in Matrix Models
• On additional symmetries of the KP hierarchy and Sato's Bäcklund transformation
• Additional symmetries of KP, Grassmannian, and the string equation
• Integrable Hierarchy for Multidimensional Toda Equations and Topological-Anti-topological Fusion
• On the String Equation of the BKP Hierarchy
• The Lax Operator Approach for the Virasoro and the W-Constraints in the Generalized KdV Hierarchy

Cited by in corpus (2)

• Sato theory on the $q$-Toda hierarchy and its extension
• Virasoro and W-constraints for the $q$-KP hierarchy