Bi-Hamiltonian ODEs with matrix variables

Details Bi-Hamiltonian ODEs with matrix variables Bi-Hamiltonian ODEs with matrix variables

2011-05-09

arxiv.org/abs/1105.1740v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

9 pages, latex

Scientific paper

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.

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