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arXiv · 2007.15294

Homogeneous Hamiltonian operators and the theory of coverings

Pierandrea Vergallo·Raffaele Vitolo
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Abstract

A new method (by Kersten, Krasil'shchik and Verbovetsky), based on the theory of differential coverings, allows to relate a system of PDEs with a differential operator in such a way that the operator maps symmetries/conserved quantities into symmetries/conserved quantities of the system of PDEs. When applied to a quasilinear first-order system of PDEs and a Dubrovin-Novikov homogeneous Hamiltonian operator the method yields conditions on the operator and the system that have interesting differential and projective geometric interpretations.

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Pierandrea Vergallo, Raffaele Vitolo. 2020-07-30. Homogeneous Hamiltonian operators and the theory of coverings. https://arxiv.org/abs/2007.15294

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