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The KP Hierarchy in Miwa Coordinates

Boris Konopelchenko·Luis Martinez Alonso
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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.

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Boris Konopelchenko, Luis Martinez Alonso. 1999-05-17. The KP Hierarchy in Miwa Coordinates. https://doi.org/10.1016/s0375-9601(99)00373-4

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