On an algebro-geometric discretization of KP hierarchy
Mathematical Physics
2007-05-23 v1 Algebraic Geometry
math.MP
Abstract
This paper studies a certain completely integrable discretization of the KP hierarchy. This was constructed by Gieseker in \cite{Gie1}, from certain algebro-geometric data. This paper has the dual aim of showing that this construction is generically invertible, and obtaining explicit expressions for the flow equations. A subsequent article will discuss the Hamiltonian structure of this system.
Cite
@article{arxiv.math-ph/0102024,
title = {On an algebro-geometric discretization of KP hierarchy},
author = {Ali Ulas Ozgur Kisisel},
journal= {arXiv preprint arXiv:math-ph/0102024},
year = {2007}
}
Comments
23 pages. Available also at http://www.math.metu.edu.tr/~akisisel