most citedOn integrability of the Camassa-Holm equation and its invariants. A geometrical approach

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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…