Virasoro symmetry of the constrained multi-component \(q\)-KP and \(q\)-MKP hierarchies

DOI10.1016/S0034-4877(21)00074-4OpenAlexW3208652274MaRDI QIDQ2067424

Yanyan Li

Publication date: 18 January 2022

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0034-4877(21)00074-4

zbMATH Keywords

Virasoro symmetryadditional symmetryconstrained multi-component \(q\)-KP hierarchymulti-component \(q\)-mKP hierarchyparticular reduction

Mathematics Subject Classification ID

Dynamical systems and ergodic theory (37-XX) Quantum theory (81-XX)

Cites Work

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• Virasoro symmetry of the constrained multicomponent Kadomtsev-Petviashvili hierarchy and its integrable discretization
• Tau function solutions to a \(q\)-deformation of the KP hierarchy
• \(q\)-KP hierarchy, bispectrality and Calogero-Moser systems
• On the modified KP hierarchy: tau functions, squared eigenfunction symmetries and additional symmetries
• Additional symmetries for integrable equations and conformal algebra representation
• Quantum affine algebras and deformations of the Virasoro and \({\mathcal W}\)-algebras
• \(q\)-deformed KP hierarchy: Its additional symmetries and infinitesimal Bäcklund transformations
• Virasoro symmetry of constrained KP hierarchies
• Extensions on two-component BKP and D type Drinfeld-Sokolov hierarchies
• Finite-dimensional tau functions of the universal character hierarchy
• Multicomponent fractional Volterra hierarchy and its subhierarchy with Virasoro symmetry
• \(q\)-deformed KP hierarchy and \(q\)-deformed constrained KP hierarchy
• Quantum torus symmetries of multicomponent modified KP hierarchy and reductions
• Constraints of the Kadomtsev–Petviashvili hierarchy
• Theqdeformation of AKNS-D hierarchy
• On a reduction of the multi-component KP hierarchy
• The algebra of q-pseudodifferential symbols and the q-WKP(n) algebra
• Quantum deformation of KdV hierarchies and their infinitely many conservation laws
• Quantum calculus

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