The KP Hierarchy in Miwa Coordinates

Abstract

A systematic reformulation of the KP hierarchy by using continuous Miwa variables is presented. Basic quantities and relations are defined and determinantal expressions for Fay's identities are obtained. It is shown that in terms of these variables the KP hierarchy gives rise to a Darboux system describing an infinite-dimensional conjugate net.

14 pages Latex2e

References in corpus (2)

• Quantum Integrable Systems and Elliptic Solutions of Classical Discrete Nonlinear Equations
• A survey of Hirota's difference equations

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