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Bi-Hamiltonian ODEs with matrix variables
- Publication Year :
- 2011
-
Abstract
- We consider a special class of linear and quadratic Poisson brackets related to ODE systems with matrix variables. We investigate general properties of such brackets, present an example of a compatible pair of quadratic and linear brackets and found the corresponding hierarchy of integrable models, which generalizes the two-component Manakov's matrix system in the case of arbitrary number of matrices.<br />Comment: 9 pages, latex
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.1105.1740
- Document Type :
- Working Paper