The KP hierarchy in Miwa coordinates

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 an obtained. It is shown that in terms of these variables the KP hierarchy gives rise to a Darboux system...

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Bibliographic Details
Authors: Konopelchenko, Boris, Martínez Alonso, Luis
Format: article
Publication Date:1999
Country:España
Institution:Universidad Complutense de Madrid (UCM)
Repository:Docta Complutense
Language:English
OAI Identifier:oai:docta.ucm.es:20.500.14352/59829
Online Access:https://hdl.handle.net/20.500.14352/59829
Access Level:Open access
Keyword:51-73
Equations
Física-Modelos matemáticos
Física matemática
Description
Summary: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 an 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.