Darboux transformations for linear operators on two dimensional regular lattices
Exactly Solvable and Integrable Systems
2010-04-19 v2 Mathematical Physics
math.MP
Abstract
Darboux transformations for linear operators on regular two dimensional lattices are reviewed. The six point scheme is considered as the master linear problem, whose various specifications, reductions, and their sublattice combinations lead to other linear operators together with the corresponding Darboux transformations. The second part of the review deals with multidimensional aspects of (basic reductions of) the four point scheme, as well as the three point scheme.
Keywords
Cite
@article{arxiv.0905.3484,
title = {Darboux transformations for linear operators on two dimensional regular lattices},
author = {Adam Doliwa and Maciej Nieszporski},
journal= {arXiv preprint arXiv:0905.3484},
year = {2010}
}
Comments
23 pages, 3 figures, presentation improved