Bi - Hamiltonian structures for integrable systems on regular time scales

Abstract

A construction of the bi-Hamiltonian structures for integrable systems on regular time scales is presented. The trace functional on an algebra of δ-pseudo-differential operators, valid on an arbitrary regular time scale, is introduced. The linear Poisson tensors and the related Hamiltonians are derived. The quadratic Poisson tensors is given by the use of… (More)

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Cite this paper

@inproceedings{Silindir2008BiH, title={Bi - Hamiltonian structures for integrable systems on regular time scales}, author={Burcu Silindir}, year={2008} }