BiHamiltonian ordinary differential equations with matrix variables
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 twocomponent Manakov matrix system to the case of an arbitrary number of matrices.
 Publication:

Theoretical and Mathematical Physics
 Pub Date:
 April 2012
 DOI:
 10.1007/s1123201200434
 Bibcode:
 2012TMP...171..442O
 Keywords:

 integrable ordinary differential equation with matrix unknowns;
 biHamiltonian formalism;
 Manakov model