English

Integrals of open 2D lattices

Exactly Solvable and Integrable Systems 2009-12-22 v1

Abstract

We present an explicit formula for integrals of the open 2D Toda lattice of type AnA_n. This formula is applicable for various reductions of this lattice. To illustrate the concept we find integrals of the Toda G2G_2 lattice. We also reveal a connection between the open Toda AnA_n and Shabat-Yamilov lattices.

Keywords

Cite

@article{arxiv.0912.4145,
  title  = {Integrals of open 2D lattices},
  author = {Dmitry K. Demskoi},
  journal= {arXiv preprint arXiv:0912.4145},
  year   = {2009}
}

Comments

8 pages, Latex 2e

R2 v1 2026-06-21T14:26:43.076Z