The Darboux-KP system as an integrable Chern-Simons multiform theory in infinite dimensional space
Mathematical Physics
2023-05-08 v1 High Energy Physics - Theory
math.MP
Exactly Solvable and Integrable Systems
Abstract
In a previous paper by one of the authors, a Lagrangian 3-form structure was established for a generalised Darboux system, originally describing orthogonal curvilinear coordinate systems, which encodes the Kadomtsev-Petviashvili (KP) hierarchy. Here a hierarchy of Lagrangian multiforms is established for the same system, viewed as a hierarchy of Chern-Simons actions in an infinite-dimensional space of Miwa variables, constituting the variational form of a universal 3D integrable system embedded in this infinite-dimensional space.
Keywords
Cite
@article{arxiv.2305.03182,
title = {The Darboux-KP system as an integrable Chern-Simons multiform theory in infinite dimensional space},
author = {Joao Faria Martins and Frank W Nijhoff and Daniel Riccombeni},
journal= {arXiv preprint arXiv:2305.03182},
year = {2023}
}