English

On $\tau$-function of the quadrilateral lattice

Exactly Solvable and Integrable Systems 2010-04-19 v1

Abstract

We investigate the τ\tau-function of the quadrilateral lattice using the nonlocal ˉ\bar\partial-dressing method, and we show that it can be identified with the Fredholm determinant of the integral equation which naturally appears within that approach.

Cite

@article{arxiv.0901.0112,
  title  = {On $\tau$-function of the quadrilateral lattice},
  author = {Adam Doliwa},
  journal= {arXiv preprint arXiv:0901.0112},
  year   = {2010}
}

Comments

7 pages

R2 v1 2026-06-21T11:56:55.213Z