The Orthogonal and Symplectic Schur Functions, Vertex Operators and Integrable Hierarchies

DOI10.2991/jnmp.k.210330.001zbMath1497.37082OpenAlexW3153432205MaRDI QIDQ5099987

Na Wang, Min-Ru Chen, Linjie Shi

Publication date: 26 August 2022

Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2991/jnmp.k.210330.001

zbMATH Keywords

Schur functionsintegrable hierarchyuniversal characterBoson-Fermion correspondence

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20)

Related Items (7)

Quantum field presentation for generalized Hall–Littlewood functions ⋮ Hasimoto maps for nonlinear Schrödinger equations in Minkowski space ⋮ Prolongation structure of supersymmetric nonlinear equation and its Bäcklund transformation ⋮ Polynomial tau-functions of the orthogonal KP, multicomponent orthogonal KP and BUC hierarchies ⋮ Solutions of the universal character hierarchy and BUC hierarchy by fermionic approach ⋮ Two types of universal characters and the integrable hierarchies ⋮ Linear transformations of vertex operators presentations of coupled Hall-Littlewood functions

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