Dispersionless modified DKP hierarchy as the Yang-Baxter equation

A. Zabrodin

Dispersionless modified DKP hierarchy as the Yang-Baxter equation

Exactly Solvable and Integrable Systems 2026-07-10 v1 Mathematical Physics

Authors: A. Zabrodin

Abstract

We show that the dispersionless version of the modified DKP hierarchy originally defined as the limit of relations for the tau-function of the Hirota-Miwa type has an equivalent reformulation as the Yang-Baxter equation for Baxter's $R$ -matrix of Boltzmann weights for the 8-vertex model.

Cite

@article{arxiv.2607.09180,
  title  = {Dispersionless modified DKP hierarchy as the Yang-Baxter equation},
  author = {A. Zabrodin},
  journal= {arXiv preprint arXiv:2607.09180},
  year   = {2026}
}

Comments

33 pages, no figures