14 citations · 44 across the 5 of their papers we have counts for
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math.DG2008★ 14 cited
Hamiltonian structures for general PDEs
Paul Kersten, Iosif Krasil'shchik, Alexander Verbovetsky +1
We sketch out a new geometric framework to construct Hamiltonian operators for generic, non-evolutionary partial differential equations. Examples on how the formalism works are pro…
math.DG2008★ 9 cited
Variational Poisson-Nijenhuis structures for partial differential equations
Valentina Golovko, Iosif Krasil'shchik, Alexander Verbovetsky
We explore variational Poisson-Nijenhuis structures on nonlinear PDEs and establish relations between Schouten and Nijenhuis brackets on the initial equation with the Lie bracket o…