Variational Poisson-Nijenhuis structures for partial differential equations

Details Variational Poisson-Nijenhuis structures for partial differential equations Variational Poisson-Nijenhuis structures for partial differential equations

2008-12-27

arxiv.org/abs/0812.4684v3

Theor. Math. Phys. 154 (2008), 227-239

Mathematics

Differential Geometry

12 pages; v2: the content isn't changed, submission metadata fixed; v3: a minor correction

Scientific paper

10.1007/s11232-008-0022-y

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 of symmetries on its natural extensions
(coverings). This approach allows to construct a framework for the theory of
nonlocal structures.

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