Nijhoff, FW (2023) Lagrangian 3-form structure for the Darboux system and the KP hierarchy. Letters in Mathematical Physics, 113. 27. ISSN 0377-9017
Abstract
A Lagrangian multiform structure is established for a generalisation of the Darboux system describing orthogonal curvilinear coordinate systems. It has been shown in the past that this system of coupled PDEs is in fact an encoding of the entire Kadomtsev–Petviashvili (KP) hierarchy in terms so-called Miwa variables. Thus, in providing a Lagrangian description of this multidimensionally consistent system amounts to a new Lagrangian 3-form structure for the continuous KP system. A generalisation to the matrix (also known as non-Abelian) KP system is discussed.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © The Author(s) 2023. 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. |
Keywords: | Integrable system, Multi-dimensional consistency, Lagrangian multiforms, KP hierarchy, Darboux systems |
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) > Applied Mathematics (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 13 Feb 2023 16:51 |
Last Modified: | 21 Jul 2023 11:29 |
Status: | Published |
Publisher: | Springer |
Identification Number: | 10.1007/s11005-023-01641-7 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:195699 |