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Lax Pairs for Linear Hamiltonian Systems.
- 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]
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