English

Tau-function of the B-Toda hierarchy

Exactly Solvable and Integrable Systems 2023-03-31 v1 Mathematical Physics math.MP

Abstract

We continue the study of the B-Toda hierarchy (the Toda lattice with the constraint of type B) which can be regarded as a discretization of the BKP hierarchy. We introduce the tau-function of the B-Toda hierarchy and obtain the bilinear equations for it. Examples of soliton tau-functions are presented in the explicit form.

Keywords

Cite

@article{arxiv.2303.17467,
  title  = {Tau-function of the B-Toda hierarchy},
  author = {V. Prokofev and A. Zabrodin},
  journal= {arXiv preprint arXiv:2303.17467},
  year   = {2023}
}

Comments

18 pages, no figures

R2 v1 2026-06-28T09:41:30.253Z