Bi-Hamiltonian ordinary differential equations with matrix variables |
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| Authors: | A V Odesskii V N Rubtsov V V Sokolov |
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| Institution: | 1.Brock University,St. Catharines,Canada;2.Institute for Theoretical and Experimental Physics,Moscow,Russia;3.LAREMA, CNRS,Université d’Angers,Angers,France;4.Landau Institute for Theoretical Physics,RAS,Moscow,Russia |
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| 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 two-component Manakov matrix system to the
case of an arbitrary number of matrices. |
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