On an algebro-geometric discretization of KP hierarchy

Details On an algebro-geometric discretization of KP hierarchy On an algebro-geometric discretization of KP hierarchy

2001-02-22

arxiv.org/abs/math-ph/0102024v1

Physics

Mathematical Physics

23 pages. Available also at http://www.math.metu.edu.tr/~akisisel

Scientific paper

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.

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