Virasoro symmetry of the constrained multicomponent Kadomtsev-Petviashvili hierarchy and its integrable discretization

DOI10.1134/S0040577916060064zbMath1377.37096arXiv1510.08955OpenAlexW3106321777MaRDI QIDQ314919

Chuanzhong Li, Jing-Song He

Publication date: 19 September 2016

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

Full work available at URL: https://arxiv.org/abs/1510.08955

zbMATH Keywords

KP hierarchyVirasoro symmetry

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) Discrete version of topics in analysis (39A12) 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)

Related Items (4)

Quantum torus symmetries of multicomponent modified KP hierarchy and reductions ⋮ Strongly coupled B-type universal characters and hierarchies ⋮ Virasoro symmetries of the constrained dispersionless mKP hierarchy ⋮ Virasoro symmetry of the constrained multi-component \(q\)-KP and \(q\)-MKP hierarchies

Cites Work

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• The extended \(Z_N\)-Toda hierarchy
• Multiple orthogonal polynomials of mixed type: Gauss-Borel factorization and the multi-component 2D Toda hierarchy
• Moment matrices and multi-component KP, with applications to random matrix theory
• Generalized Drinfel'd-Sokolov hierarchies
• Extensions of the matrix Gelfand-Dickey hierarchy from generalized Drinfeld-Sokolov reduction
• Additional symmetries for integrable equations and conformal algebra representation
• Lax pairs, symmetries and conservation laws of a differential-difference equation -- Sato's approach
• Virasoro symmetry of constrained KP hierarchies
• On the extended multi-component Toda hierarchy
• ADDITIONAL SYMMETRIES OF KP, GRASSMANNIAN, AND THE STRING EQUATION
• ADDITIONAL SYMMETRIES OF KP, GRASSMANNIAN, AND THE STRING EQUATION II
• Block type symmetry of bigraded Toda hierarchy
• Sato's Bäcklund transformations, additional symmetries and ASvM formula for the discrete KP hierarchy
• Constraints of the Kadomtsev–Petviashvili hierarchy
• Solutions for the vector k-constrained KP hierarchy
• On a reduction of the multi-component KP hierarchy
• Virasoro type algebraic structure hidden in the constrained discrete Kadomtsev-Petviashvili hierarchy
• Block algebra in two-component BKP and D type Drinfeld-Sokolov hierarchies

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