电邮这篇文章 Lax Pairs for Linear Hamiltonian Systems
- 作者: Zheglov A.1, Osipov D.2,3,4
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隶属关系:
- 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,”
- 期: 卷 60, 编号 4 (2019)
- 页面: 592-604
- 栏目: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/172490
- DOI: https://doi.org/10.1134/S0037446619040050
- ID: 172490
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详细
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.
作者简介
A. Zheglov
Lomonosov Moscow State University
编辑信件的主要联系方式.
Email: azheglov@mech.math.msu.su
俄罗斯联邦, Moscow
D. Osipov
Steklov Mathematical Institute of Russian Academy of Sciences; National Research University Higher School of Economics; National University of Science and Technology “MISiS,”
编辑信件的主要联系方式.
Email: d_osipov@mi-ras.ru
俄罗斯联邦, Moscow; Moscow; Moscow
