Email this article Lax Pairs for Linear Hamiltonian Systems
- Authors: Zheglov A.B.1, Osipov D.V.2,3,4
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Affiliations:
- Lomonosov Moscow State University
- Steklov Mathematical Institute of Russian Academy of Sciences
- National Research University Higher School of Economics
- National University of Science and Technology “MISiS,”
- Issue: Vol 60, No 4 (2019)
- Pages: 592-604
- Section: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/172490
- DOI: https://doi.org/10.1134/S0037446619040050
- ID: 172490
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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.
About the authors
A. B. Zheglov
Lomonosov Moscow State University
Author for correspondence.
Email: azheglov@mech.math.msu.su
Russian Federation, Moscow
D. V. Osipov
Steklov Mathematical Institute of Russian Academy of Sciences; National Research University Higher School of Economics; National University of Science and Technology “MISiS,”
Author for correspondence.
Email: d_osipov@mi-ras.ru
Russian Federation, Moscow; Moscow; Moscow
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