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Teoreticheskaya i Matematicheskaya Fizika, 2017, Volume 192, Number 3, Pages 459–472
DOI: https://doi.org/10.4213/tmf9329 (Mi tmf9329) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Lie–Poisson structures over differential algebras

V. V. Zharinov

Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia
Full-text PDF (469 kB) Citations (6)
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DOI: https://doi.org/10.4213/tmf9329
Abstract: Based on key elements of Olver's approach to partial differential equations for Hamiltonian evolution, we propose an algebraic construction appropriate for Hamiltonian evolutionary systems with constraints.
Keywords: differential algebra, differential bicomplex, Lie–Poisson structure, Hamiltonian map, Hamiltonian evolution system of partial differential equations, constraint.
Received: 09.01.2017
English version:
Theoretical and Mathematical Physics, 2017, Volume 192, Issue 3, Pages 1337–1349
DOI: https://doi.org/10.1134/S0040577917090057
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. V. Zharinov, “Lie–Poisson structures over differential algebras”, TMF, 192:3 (2017), 459–472; Theoret. and Math. Phys., 192:3 (2017), 1337–1349
Citation in format AMSBIB
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    References:51
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