The KP Hierarchy in Miwa Coordinates

Details The KP Hierarchy in Miwa Coordinates The KP Hierarchy in Miwa Coordinates

1999-05-07

arxiv.org/abs/solv-int/9905005v2

Nonlinear Sciences

Exactly Solvable and Integrable Systems

14 pages Latex2e

Scientific paper

10.1016/S0375-9601(99)00373-4

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.

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