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- Title
Bi-Hamiltonian ordinary differential equations with matrix variables.
- Authors
Odesskii, A.; Rubtsov, V.; Sokolov, V.
- Abstract
We consider a special class of Poisson brackets related to systems of ordinary differential equations with matrix variables. We investigate general properties of such brackets, present an example of a compatible pair of quadratic and linear brackets, and find the corresponding hierarchy of integrable models, which generalizes the two-component Manakov matrix system to the case of an arbitrary number of matrices.
- Subjects
HAMILTONIAN systems; DIFFERENTIAL equations; MATHEMATICAL variables; POISSON brackets; LINEAR systems; MATRICES (Mathematics)
- Publication
Theoretical & Mathematical Physics, 2012, Vol 171, Issue 1, p442
- ISSN
0040-5779
- Publication type
Article
- DOI
10.1007/s11232-012-0043-4