The Hamiltonian Structure of Discrete Kp Equations

Abstract

This paper investigates Hamiltonian properties of the algebro-geometric discretization of KP hierarchy introduced in [Gie1]. A Poisson bracket is introduced. The system is related to the periodic band matrix system of [vM-M]. It is shown that the bracket descends to the latter and endows it with bi-Hamiltonian structure together with the first bracket… (More)

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