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Sibirskii Matematicheskii Zhurnal, 2019, Volume 60, Number 4, Pages 760–776
DOI: https://doi.org/10.33048/smzh.2019.60.405 (Mi smj3113) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Lax pairs for linear Hamiltonian systems

A. B. Zheglova, D. V. Osipovbcd

a Lomonosov Moscow State University, Moscow, Russia
b Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia
c National Research University Higher School of Economics, Moscow, Russia
d National University of Science and Technology “MISiS”, Moscow, Russia
Full-text PDF (471 kB) Citations (3)
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DOI: https://doi.org/10.33048/smzh.2019.60.405
Abstract: We construct Lax pairs for linear Hamiltonian systems of differential equations. In particular, the Gröbner bases are used for computations. It is proved that the mappings in the construction of Lax pairs are Poisson. Under study are the various properties of first integrals of the system which are obtained from Lax pairs.
Keywords: Lax pairs, linear Hamiltonian systems, first integrals, Gröbner bases.
Funding agency Grant number
Russian Foundation for Basic Research 16-01-00378_а
16-51-55012_ГФЕН_а
Ministry of Education and Science of the Russian Federation 14.641.31.0001
The first author was supported by the Russian Foundation for Basic Research (Grants 16-01-00378a and 16-51-55012 China-a). The second author was partially supported by the Laboratory of Mirror Symmetry NRU HSE (RF Government Grant, Ag. No. 14.641.31.0001).
Received: 11.10.2018
Revised: 11.10.2018
Accepted: 19.12.2018
English version:
Siberian Mathematical Journal, 2019, Volume 60, Issue 4, Pages 592–604
DOI: https://doi.org/10.1134/S0037446619040050
Bibliographic databases:
Document Type: Article
UDC: 517.926
Language: Russian
Citation: A. B. Zheglov, D. V. Osipov, “Lax pairs for linear Hamiltonian systems”, Sibirsk. Mat. Zh., 60:4 (2019), 760–776; Siberian Math. J., 60:4 (2019), 592–604
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Сибирский математический журнал Siberian Mathematical Journal
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