Revisits Bäcklund-Darboux transformations for KP, BKP and related hierarchies in bilinear tau-function and fermionic operator frameworks, extending naturally to fully discrete cases.
Free fermions and tau-functions
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
We review the formalism of free fermions used for construction of tau-functions of classical integrable hierarchies and give a detailed derivation of group-like properties of the normally ordered exponents, transformations between different normal orderings, the bilinear relations, the generalized Wick theorem and the bosonization rules. We also consider various examples of tau-functions and give their fermionic realization.
fields
nlin.SI 1years
2025 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
Revisiting B\"acklund-Darboux transformations for KP and BKP integrable hierarchies
Revisits Bäcklund-Darboux transformations for KP, BKP and related hierarchies in bilinear tau-function and fermionic operator frameworks, extending naturally to fully discrete cases.