English

On the discrete modified KP hierarchy: tau functions, Fay identity and squared eigenfunction symmetries

Exactly Solvable and Integrable Systems 2023-03-22 v1

Abstract

In this paper, we prove the existence of tau functions of the discrete modified KP hierarchy and define the squared eigenfunction symmetry. Meanwhile, the Fay identity with its difference form, the squared eigenfunction potentials and the symmetry flow acting on tau functions are obtained.

Keywords

Cite

@article{arxiv.2303.11550,
  title  = {On the discrete modified KP hierarchy: tau functions, Fay identity and squared eigenfunction symmetries},
  author = {Kelei Tian and Guangmiao Lai and Ge Yi and Ying Xu},
  journal= {arXiv preprint arXiv:2303.11550},
  year   = {2023}
}
R2 v1 2026-06-28T09:25:25.934Z