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The KP hierarchy in Miwa coordinates

✍ Scribed by Boris Konopelchenko; Luis Martı́nez Alonso

Publisher: Elsevier Science
Year: 1999
Tongue: English
Weight: 80 KB
Volume: 258
Category: Article
ISSN: 0375-9601
DOI: 10.1016/s0375-9601(99)00373-4

No coin nor oath required. For personal study only.

✦ Synopsis

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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