The integrable discretization of the Bianchi-Ernst system
Exactly Solvable and Integrable Systems
2007-05-23 v1
Abstract
We present the constraint for the discrete Moutard equation which gives the integrable discretization of the Bianchi-Ernst system. We also derive the discrete analogue of the Bianchi transformation between solutions of such a system (the Darboux-Backlund transformation in soliton terminology). We finally obtain the superposition of discrete Bianchi transformations.
Keywords
Cite
@article{arxiv.nlin/0104065,
title = {The integrable discretization of the Bianchi-Ernst system},
author = {M. Nieszporski and A. Doliwa and P. M. Santini},
journal= {arXiv preprint arXiv:nlin/0104065},
year = {2007}
}
Comments
10 pages, uses elsart.cls style