English

The KP Hierarchy in Miwa Coordinates

solv-int 2009-10-31 v2 Exactly Solvable and Integrable Systems

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.

Keywords

Cite

@article{arxiv.solv-int/9905005,
  title  = {The KP Hierarchy in Miwa Coordinates},
  author = {Boris Konopelchenko and Luis Martinez Alonso},
  journal= {arXiv preprint arXiv:solv-int/9905005},
  year   = {2009}
}

Comments

14 pages Latex2e

R2 v1 2026-07-22T20:09:07.930Z