English

Generic solutions for some integrable lattice equations

High Energy Physics - Theory 2009-10-28 v2 Exactly Solvable and Integrable Systems solv-int

Abstract

We derive the expressions for ψ\psi-functions and generic solutions of lattice principal chiral equations, lattice KP hierarchy and hierarchy including lattice N-wave type equations. τ\tau-function of nn free fermions plays fundamental role in this context. Miwa's coordinates in our case appear as the lattice parameters.

Cite

@article{arxiv.hep-th/9401080,
  title  = {Generic solutions for some integrable lattice equations},
  author = {L. V. Bogdanov},
  journal= {arXiv preprint arXiv:hep-th/9401080},
  year   = {2009}
}

Comments

The text of the talk at NEEDS-93 conference, Gallipoli, Italy, September-93, LaTeX, 8 pages. Several typos and minor errors are corrected