Lax structure and tau function for large BKP hierarchy

DOI10.1007/s11005-024-01888-8MaRDI QIDQ6660031

Wenjuan Rui, Shen Wang, Jipeng Cheng, Wenchuang Guan

Publication date: 10 January 2025

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

zbMATH Keywords

tau functionLax equationbilinear equationToda hierarchylarge BKP hierarchymToda hierarchy

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) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)

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?)
• CKP hierarchy, bosonic tau function and bosonization formulae
• Solitons and infinite dimensional Lie algebras
• Tau functions of the charged free bosons
• The extended D-Toda hierarchy
• Pfaffian and determinantal tau functions
• Integrable discrete Schrödinger equations and a characterization of Prym varieties by a pair of quadrisecants
• Auxiliary linear problem, difference Fay identities and dispersionless limit of Pfaff-Toda hierarchy
• Vertex operator solutions to the discrete KP-hierarchy
• Pfaff \(\tau\)-functions
• An application of Pfaffians to multipeakons of the Novikov equation and the finite Toda lattice of BKP type
• Toda versus Pfaff lattice and related polynomials.
• Free fermions and tau-functions
• Kadomtsev-Petviashvili hierarchies of types B and C
• Miura and auto-Bäcklund transformations for the discrete KP and mKP hierarchies and their constrained cases
• Toda lattice hierarchy and conservation laws
• Bäcklund–Darboux transformations for the coupled KP hierarchy
• Hierarchies of Coupled Soliton Equations. I
• Toda hierarchies and their applications
• Explicit Solutions of the 2+1-Dimensional Modified Toda Lattice through Straightening out of the Relativistic Toda Flows
• The n-component KP hierarchy and representation theory
• Integrable lattice hierarchies behind Cauchy two-matrix model and Bures ensemble
• BKP tau-functions as square roots of KP tau-functions
• Modified DKP hierarchy as modified BKP hierarchy
• Multicomponent KP type hierarchies and their reductions, associated to conjugacy classes of Weyl groups of classical Lie algebras
• Toda lattice with constraint of type B
• Tau-function of the B-Toda hierarchy
• Dispersionless limit of the B-Toda hierarchy

This page was built for publication: Lax structure and tau function for large BKP hierarchy

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6660031)