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Cohomological geometry of differential equations
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Lagrangian multiforms and dispersionless integrable systems E. V. Ferapontov |
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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. Based on joint work with Mats Vermeeren. Language: English Website: https://arxiv.org/abs/2503.22615 |
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