Multi-component Pfaff-Toda hierarchy within bilinear formalism
Mathematical Physics
2025-11-17 v1 math.MP
Abstract
Using the free fermions technique and non-abelian bosonization rules we introduce the multi-component Pfaff-Toda hierarchy. The tau-function is defined as vacuum expectation value of a Clifford group element of the algebra of Fermi-operators. A generating bilinear integral equation for the tau-function is obtained. A number of bilinear functional relations for the tau-function of the Hirota-Miwa type are derived as corollaries of the generating bilinear equation.
Keywords
Cite
@article{arxiv.2511.10779,
title = {Multi-component Pfaff-Toda hierarchy within bilinear formalism},
author = {A. Savchenko and A. Zabrodin},
journal= {arXiv preprint arXiv:2511.10779},
year = {2025}
}
Comments
30 pages, no figures