Projective-geometric aspects of homogeneous third-order Hamiltonian operators

Abstract

We investigate homogeneous third-order Hamiltonian operators of differential-geometric type. Based on the correspondence with quadratic line complexes, a complete list of such operators for two and three components is obtained.

References in corpus (3)

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• Flat Pencils of Symplectic Connections and Hamiltonian Operators of Degree 2
• Linearly degenerate PDEs and quadratic line complexes

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