On a two-parameter extension of the lattice KdV system associated with an elliptic curve
Exactly Solvable and Integrable Systems
2015-06-26 v1
Abstract
A general structure is developed from which a system of integrable partial difference equations is derived generalising the lattice KdV equation. The construction is based on an infinite matrix scheme with as key ingredient a (formal) elliptic Cauchy kernel. The consistency and integrability of the lattice system is discussed as well as special solutions and associated continuum equations.
Keywords
Cite
@article{arxiv.nlin/0212041,
title = {On a two-parameter extension of the lattice KdV system associated with an elliptic curve},
author = {Frank W. Nijhoff and Sian Puttock},
journal= {arXiv preprint arXiv:nlin/0212041},
year = {2015}
}
Comments
Submitted to the proceedings of the Oeresund PDE-symposium, 23-25 May 2002; 17 pages LaTeX, style-file included