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Lax Pairs for Linear Hamiltonian Systems.

Authors :
Zheglov, A. B.
Osipov, D. V.
Source :
Siberian Mathematical Journal. Jul2019, Vol. 60 Issue 4, p592-604. 13p.
Publication Year :
2019

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. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
*HAMILTONIAN systems
*LINEAR systems
*GROBNER bases
*LAX pair
*DIFFERENTIAL equations
*DARBOUX transformations

Details

Language :
English
ISSN :
00374466
Volume :
60
Issue :
4
Database :
Academic Search Index
Journal :
Siberian Mathematical Journal
Publication Type :
Academic Journal
Accession number :
138055853
Full Text :
https://doi.org/10.1134/S0037446619040050
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