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We construct Lax pairs for linear Hamiltonian systems of differential equations. In particular, the Grobner bases are used for computations. It is proved that the mappings in the construction of… Click to show full abstract
We construct Lax pairs for linear Hamiltonian systems of differential equations. In particular, the Grobner 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.
Keywords:
lax pairs;
linear hamiltonian;
pairs linear;
hamiltonian systems
Journal Title: Siberian Mathematical Journal
Year Published: 2019
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Journal Title: Siberian Mathematical Journal
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!