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math-phNov 21, 2018
27
citations (OpenAlex)
authors
  • Victor Kac
  • Johan van de Leur
institutions
  • Massachusetts Institute of Technology
  • Utrecht University
arXiv abstractPDF
paper

Polynomial tau-functions of BKP and DKP hierarchies

arXiv:1811.08733 · doi:10.1063/1.5085310

Abstract

We construct all polynomial tau-functions of the BKP, DKP and MDKP hierarches.

References in corpus (1)

  • Multiparameter Schur Q-Functions Are Solutions of the BKP Hierarchy

Cited by in corpus (11)

  • Polynomial Tau-functions of the KP, BKP, and the s-Component KP Hierarchies
  • Bilinear equations in Darboux transformations by Boson-Fermion correspondence
  • Bilinear expansions of lattices of KP τ-functions in BKP τ-functions: a fermionic approach
  • Polynomial KP and BKP τ-functions and correlators
  • Polynomial tau-functions of the symplectic KP, orthogonal KP and BUC hierarchies
  • BKP tau-functions as square roots of KP tau-functions
  • BKP Hierarchy, Affine Coordinates, and a Formula for Connected Bosonic N-Point Functions
  • The generalized Giambelli formula and polynomial KP and CKP tau-functions
  • Extended Schur's Q-functions and the full Kostant--Toda hierarchy on the Lie algebra of type D
  • On symmetries of the non-stationary PIIn hierarchy and their applications
  • Fredholm Pfaffian τ-functions for orthogonal isospectral and isomonodromic systems
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