Мақаланы E-mail арқылы жіберу Lax Pairs for Linear Hamiltonian Systems
- Авторлар: Zheglov A.1, Osipov D.2,3,4
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Мекемелер:
- 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,”
- Шығарылым: Том 60, № 4 (2019)
- Беттер: 592-604
- Бөлім: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/172490
- DOI: https://doi.org/10.1134/S0037446619040050
- ID: 172490
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Аннотация
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.
Негізгі сөздер
Авторлар туралы
A. Zheglov
Lomonosov Moscow State University
Хат алмасуға жауапты Автор.
Email: azheglov@mech.math.msu.su
Ресей, 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,”
Хат алмасуға жауапты Автор.
Email: d_osipov@mi-ras.ru
Ресей, Moscow; Moscow; Moscow
