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This article is cited in 2 scientific papers (total in 2 papers)
Hamiltonian operators in differential algebras
V. V. Zharinov Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia
Abstract:
We develop a previously proposed algebraic technique for a Hamiltonian approach to evolution systems of partial differential equations including constrained systems and propose a defining system of equations (suitable for computer calculations) characterizing the Hamiltonian operators of a given form. We demonstrate the technique with a simple example.
Keywords:
differential algebra, Lie–Poisson structure, Jacobi identity,
Hamiltonian operator, Hamiltonian evolution system.
Received: 22.05.2017
Citation:
V. V. Zharinov, “Hamiltonian operators in differential algebras”, TMF, 193:3 (2017), 369–380; Theoret. and Math. Phys., 193:3 (2017), 1725–1736
Linking options:
https://www.mathnet.ru/eng/tmf9400https://doi.org/10.4213/tmf9400 https://www.mathnet.ru/eng/tmf/v193/i3/p369
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Abstract page: | 452 | Full-text PDF : | 115 | References: | 71 | First page: | 39 |
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