Lagrangian multiforms and dispersionless integrable systems
Exactly Solvable and Integrable Systems
2025-11-06 v2 Mathematical Physics
math.MP
Abstract
We demonstrate that interesting examples of Lagrangian multiforms appear naturally in the theory of multidimensional dispersionless integrable systems as (a) higher-order conservation laws of linearly degenerate PDEs in 3D, and (b) in the context of Gibbons-Tsarev equations governing hydrodynamic reductions of heavenly type equations in 4D.
Keywords
Cite
@article{arxiv.2503.22615,
title = {Lagrangian multiforms and dispersionless integrable systems},
author = {Evgeny V. Ferapontov and Mats Vermeeren},
journal= {arXiv preprint arXiv:2503.22615},
year = {2025}
}
Comments
25 pages. v2: extended introduction and other minor improvements and corrections