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Lagrangian multiforms and dispersionless integrable systems
Evgeny V. Ferapontov, Mats Vermeeren
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Source: Crossref
Published: Nov 5, 2025
DOI: 10.1007/s11005-025-02016-w
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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.
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