Lagrangian multiforms and dispersionless integrable systems
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.
Authors
- Mats Vermeeren (ORCID: https://orcid.org/0000-0002-6982-4505)
- E. V. Ferapontov (ORCID: https://orcid.org/0000-0001-9025-9478)
Institutions
- Loughborough University (GB)
Publication Details
- Journal
- Letters in Mathematical Physics
- Published
- 2025-11-05
- DOI
- https://doi.org/10.1007/s11005-025-02016-w
- Primary Topic
- Nonlinear Waves and Solitons
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Engineering and Physical Sciences Research Council