Lax structure and tau function for large BKP hierarchy

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

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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
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Pfaff \(\tau\)-functions
An application of Pfaffians to multipeakons of the Novikov equation and the finite Toda lattice of BKP type
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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

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