Variational Poisson-Nijenhuis structures for partial differential equations
Differential Geometry
2009-02-06 v3 Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
Abstract
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.
Keywords
Cite
@article{arxiv.0812.4684,
title = {Variational Poisson-Nijenhuis structures for partial differential equations},
author = {Valentina Golovko and Iosif Krasil'shchik and Alexander Verbovetsky},
journal= {arXiv preprint arXiv:0812.4684},
year = {2009}
}
Comments
12 pages; v2: the content isn't changed, submission metadata fixed; v3: a minor correction