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Bi-Hamiltonian ODEs with matrix variables

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.
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Preprints, Working Papers, ...
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Contributor : Vladimir Roubtsov Connect in order to contact the contributor
Submitted on : Tuesday, September 6, 2011 - 5:09:14 PM
Last modification on : Wednesday, October 20, 2021 - 3:18:43 AM

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  • HAL Id : hal-00619676, version 1
  • ARXIV : 1105.1740



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



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