On the constrained \(q\)-mKP hierarchy: additional symmetry and a hidden Virasoro algebraic structure

DOI10.1134/S0040577924050076zbMATH Open1541.37075MaRDI QIDQ6554792

Kelei Tian, Ying Xu, Ge Yi, Song Li

Publication date: 13 June 2024

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

Virasoro algebraadditional symmetryconstrained \(q\)-mKP hierarchy

Mathematics Subject Classification ID

Virasoro and related algebras (17B68) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Applications of Lie algebras and superalgebras to integrable systems (17B80) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30)

Cites Work

• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Solitons and infinite dimensional Lie algebras
• Tau function solutions to a \(q\)-deformation of the KP hierarchy
• Infinite dimensional Grassmannian structure of two-dimensional quantum gravity
• \(q\)-KP hierarchy, bispectrality and Calogero-Moser systems
• \(q\)-generalized Bose-Einstein condensation based on Tsallis entropy
• 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 the constrained multi-component \(q\)-KP and \(q\)-MKP hierarchies
• The gauge transformations of the constrained \(q\)-deformed modified KP hierarchy and their relations with the additional symmetries
• \(q\)-deformed KP hierarchy and \(q\)-deformed constrained KP hierarchy
• Theq-deformed mKP hierarchy with self-consistent sources, Wronskian solutions and solitons
• The bispectral property of aq-deformation of the Schur polynomials and theq-KdV hierarchy
• Miura and auto-Backlund transformations for the q-deformed KP and q-deformed modified KP hierarchies
• Quantum deformation of KdV hierarchies and their infinitely many conservation laws
• Bose-Einstein condensation of a \(q\)-deformed ideal Bose gas
• Quantum calculus

This page was built for publication: On the constrained \(q\)-mKP hierarchy: additional symmetry and a hidden Virasoro algebraic structure

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6554792)