Martins, J.F. orcid.org/0000-0001-8113-3646, Nijhoff, F.W. orcid.org/0000-0002-1520-0502 and Riccombeni, D. orcid.org/0000-0003-4724-1074 (2024) Darboux-Kadomtsev-Petviashvili system as an integrable Chern-Simons multiform theory in infinite dimensional space. Physical Review D, 109 (2). L021701. ISSN 2470-0010
Abstract
The Darboux-Kadomtsev-Petviashvili system is a universal three-dimensional integrable field theory, which is a generating system for the entire Kadomtsev-Petviashvili hierarchy, and at the same time generalizes the Darboux system, describing orthogonal curvilinear coordinates. In this paper, we establish a hierarchy of Lagrangian multiforms for the Darboux-Kadomtsev-Petviashvili system, derived from a hierarchy of Chern-Simons actions in an infinite-dimensional space of Miwa variables. This provides an integrable variational description of this multidimensionally consistent field theory embedded in infinite dimensional space.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | This item is protected by copyright. This is an open access article under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits unrestricted use, distribution and reproduction in any medium, provided the original work is properly cited. |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mathematics (Leeds) > Pure Mathematics (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 24 Jan 2024 12:22 |
Last Modified: | 24 Jan 2024 12:22 |
Status: | Published |
Publisher: | American Physical Society |
Identification Number: | 10.1103/physrevd.109.l021701 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:208188 |