Lagrangian multiforms and dispersionless integrable systems

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.

mathematical physicsanalysis of PDEsdifferential geometry

Audience: researchers in the topic

( paper | video )

Geometry of differential equations seminar