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Teoreticheskaya i Matematicheskaya Fizika, 2008, Volume 154, Number 2, Pages 268–282
DOI: https://doi.org/10.4213/tmf6168 (Mi tmf6168) 		 
This article is cited in 8 scientific papers (total in 8 papers)

Variational Poisson–Nijenhuis structures for partial differential equations

V. A. Golovkoa, I. S. Krasil'shchikb, A. M. Verbovetskyb

a M. V. Lomonosov Moscow State University
b Independent University of Moscow
Full-text PDF (483 kB) Citations (8)
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DOI: https://doi.org/10.4213/tmf6168
Abstract: 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.
Keywords: Poisson–Nijenhuis structure, symmetry, conservation law, covering, nonlocal structure.
Received: 01.05.2007
English version:
Theoretical and Mathematical Physics, 2008, Volume 154, Issue 2, Pages 227–239
DOI: https://doi.org/10.1007/s11232-008-0022-y
Bibliographic databases:
Language: Russian
Citation: V. A. Golovko, I. S. Krasil'shchik, A. M. Verbovetsky, “Variational Poisson–Nijenhuis structures for partial differential equations”, TMF, 154:2 (2008), 268–282; Theoret. and Math. Phys., 154:2 (2008), 227–239
Citation in format AMSBIB
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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