Geodesic
Variational Poisson--Nijenhuis structures for partial differential
Teoretičeskaâ i matematičeskaâ fizika, Tome 154 (2008) no. 2, pp. 268-282

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We explore variational Poisson–Nijenhuis structures on nonlinear partial differential equations and establish relations between the Schouten and Nijenhuis brackets on the initial equation and the Lie bracket of symmetries on its natural extensions (coverings). This approach allows constructing a framework for the theory of nonlocal structures.
Mots-clés : Poisson–Nijenhuis structure, nonlocal structure.
Keywords: symmetry, conservation law, covering 
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     author = {V. A. Golovko and I. S. Krasil'shchik and A. M. Verbovetsky},
     title = {Variational {Poisson--Nijenhuis} structures for partial differential},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {268--282},
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     volume = {154},
     number = {2},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2008_154_2_a5/}
}
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V. A. Golovko; I. S. Krasil'shchik; A. M. Verbovetsky. Variational Poisson--Nijenhuis structures for partial differential. Teoretičeskaâ i matematičeskaâ fizika, Tome 154 (2008) no. 2, pp. 268-282. http://geodesic.mathdoc.fr/item/TMF_2008_154_2_a5/