Polynomial tau-functions of BKP and DKP hierarchies

DOI10.1063/1.5085310zbMath1421.37028arXiv1811.08733OpenAlexW3101174220WikidataQ127531090 ScholiaQ127531090MaRDI QIDQ5228051

Johan W. van de Leur, Victor G. Kac

Publication date: 8 August 2019

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

Full work available at URL: https://arxiv.org/abs/1811.08733

zbMATH Keywords

KP hierarchiestau-functions

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30) Projective representations and multipliers (20C25)

Related Items (17)

Modified DKP hierarchy as modified BKP hierarchy ⋮ The generalized Giambelli formula and polynomial KP and CKP tau-functions ⋮ BKP tau-functions as square roots of KP tau-functions ⋮ BKP hierarchy, affine coordinates, and a formula for connected bosonic \(n\)-point functions ⋮ Multi-component universal character hierarchy and its polynomial tau-functions ⋮ Bilinear equations in Darboux transformations by boson-fermion correspondence ⋮ Q-polynomial expansion for Brézin-Gross-Witten tau-function ⋮ Extended Schur's \(Q\)-functions and the full Kostant-Toda hierarchy on the Lie algebra of type \(D\) ⋮ Polynomial tau-functions of the orthogonal KP, multicomponent orthogonal KP and BUC hierarchies ⋮ Linear transformations of vertex operators of Hall-Littlewood polynomials ⋮ Linear transformations of vertex operators presentations of coupled Hall-Littlewood functions ⋮ On symmetries of the non-stationary PIIn hierarchy and their applications ⋮ Polynomial KP and BKP \(\tau\)-functions and correlators ⋮ Bilinear expansions of lattices of KP τ -functions in BKP τ -functions: A fermionic approach ⋮ Intersection numbers on \({\overline{M}}_{g,n}\) and BKP hierarchy ⋮ Polynomial tau-functions of the KP, BKP, and the s-component KP hierarchies ⋮ Fredholm Pfaffian \(\tau \)-functions for orthogonal isospectral and isomonodromic systems

Cites Work

• Solitons and infinite dimensional Lie algebras
• Transformation groups of soliton equations. IV: A new hierarchy of soliton equations of KP-type
• Transformation groups for soliton equations. Euclidean Lie algebras and reduction of the KP hierarchy
• DKP and MDKP hierarchy of soliton equations
• Equivalence of formulations of the MKP hierarchy and its polynomial tau-functions
• Multiparameter Schur \(Q\)-functions are solutions of the BKP hierarchy
• Method for Generating Discrete Soliton Equation. III
• The two bosonizations of the CKP hierarchy: Overview and character identities
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