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Bi-Hamiltonian ODEs with matrix variables

Alexander Odesskii
  • Function : Author
Vladimir Sokolov


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.

Dates and versions

hal-00619676 , version 1 (06-09-2011)



Alexander Odesskii, Vladimir Rubtsov, Vladimir Sokolov. Bi-Hamiltonian ODEs with matrix variables. 2011. ⟨hal-00619676⟩
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